Glenda made a scale model of the Empire State Building in New York. The building itself is $1250$ feet high, and her scale model is $5$ feet high. 

1. Write a ratio that compares the heights of the two buildings.

2. If the doorway of Glenda’s model is $2$ inches wide, how wide would you expect the doorway of the real building to be? Write and solve a proportion.

   Answer (b):

   $41$ feet, $8$ inches. Remember to show your work.

3. If the real building contains $102$ floors, how many floors should Glenda’s model contain?

   Hint (c):

   Do you change the number of floors or the size of each floor?