BAC Florida Bank saw greater profits in the third quarter as it grew its loans by $20 million. The Coral Gables-based bank, a part of Grupo Pellas in Nicaragua, earned $2.78 million, up from $2.66 million in the second quarter. As its loan portfolio grew, it's net interest income increased to $10.1 million, from $9.9 million. BAC Florida didn't take any expenses for loan losses in the third quarter, compared to a $420,000 expense in the second quarter. The bank boosted its loan portfolio by $20…