5 inches on a map represents 75 miles. How many inches would be between two cities that are 5,000 miles apart?

To solve this problem, set up a proportion.

Let x be the number of inches between the two cities.
Therefore, the proportion is:

5 inches / 75 miles = x inches / 5000 miles

Now, cross multiply to find x:

(5 inches)(5000 miles) = (75 miles)(x inches)
25,000 inches = 75 miles * x inches

Finally, divide both sides by 75 miles to solve for x:

25000 inches / 75 miles = x inches
333.33 inches = x

Rounded to the nearest whole number, there would be approximately 333 inches between the two cities that are 5000 miles apart.