A CHALLENGER CL60 FLC ATTEMPTS A VISUAL APCH TO THE WRONG RWY ARPT WHEN SIGHTING FPR. FLT HAD BEEN CLRED FOR A VISUAL TO RWY 29 AT VRB; FL.

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DEPARTED FOR VRB ARPT. 2 CREW MEMBERS; VMC 3000 FT SCATTERED LAYER; 10 MI VISIBILITY. ENRTE TO VRB WAS VECTORED OVERHEAD FOR ARPT FOR THE VOR DME RWY 29L APCH TO VRB. AFTER XING OVERHEAD FPR ARPT; FLT WAS VECTORED TO ZAGGA INTXN. PRIOR TO ZAGGA INTXN; ZMA VECTORED US TO A HDG OF 120 DEGS OUT OVER THE OCEAN. AT APPROX 15 DME FROM VRB VOR; FLT WAS VECTORED TO A HDG OF 270 DEGS (R-HAND TURN). AT THIS TIME FLT WAS ON (APPROX) THE VRB 130 DEG RADIAL AT 15 DME HDG 270 DEGS. ZMA ASKED THE CREW IF WE HAD VERO BEACH ARPT IN SIGHT. THE CREW SAID YES; AND ATC STATED 'YOU ARE CLRED FOR THE VISUAL TO RWY 29L AT VERO BEACH.' AT THIS POINT THE ACFT WAS AT 2500 FT AGL (ASSIGNED BY ATC). THE PIC BEGAN A DSCNT FOR THE ARPT AND TURNED 20 DEGS L TO LINE UP WITH THE RWY. AT APPROX 2000 FT AGL AND 6-7 MI FINAL; VRB TWR ADVISED THAT WE WERE LINED UP WITH FPR RWY 27 TO CLB TO 3000 FT ON A HDG OF 270 DEGS AND TO CONTACT ZMA. WE IMMEDIATELY COMPLIED AND CONTACTED ZMA WHO ADVISED WE HAD PENETRATED FPR AIRSPACE; CONTINUE CLB TO 3000 FT HDG 270 DEGS FOR VECTORS TO VRB ARPT.' WE TOUCHED DOWN AT XA39 AT VRB WITHOUT FURTHER INCIDENT. SUPPLEMENTAL INFO FROM ACN 535576: WHILE BEING VECTORED NE AT 4000 FT BY ZMA; WE WERE VECTORED OVER ARPT ORIGINALLY THOUGHT TO BE VRB BUT NOT CONFIRMED AS RWY LAYOUT LACKED THE RWY 29L&R CONSISTENT TO VERO BEACH. AS WE CONTINUED TOWARD FORT PIERCE; STILL NOT ACCEPTING THE RWY CONFIGN/LAYOUT AND LACK OF A PARALLEL; TWR ADVISED US TO CLB. CONTRIBUTING FACTORS: CREW SITUATIONAL AWARENESS. NON FLT RELATED CONVERSATION AND TASKS BY BOTH CREW MEMBERS. PROGRAMMING FMS FOR ARR BELOW 5000 FT AND WITHIN 30 MI OF DEST. BECAUSE OF THE PROX OF THE 2 ARPTS; CTLR MIGHT HAVE ASSUMED WE HAD THE PROPER ONE IN SIGHT.