The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. The lift of a wing with an area of 140
square feet is 35,200
pounds when the plane is going 120
miles per hour. Find the lifting force on the wing if the plane speeds up to 150
miles per hour. (Leave the variation constant in fraction form or round to at least 5 decimal places. Round off your final answer to the nearest pound.)