Given that 73,060 households are 5.1% of the number of households in Iowa, let be "x" the number of households in Iowa (that represents 100% of the households).
Using the data provided in the exercise, you can set up the following proportion:
[tex]\frac{73060}{5.1}=\frac{x}{100}[/tex]Now you need to solve for "x" in order to find its value:
[tex]\begin{gathered} (100)(\frac{73060}{5.1})=x \\ \\ \frac{7306000}{5.1}=x \end{gathered}[/tex][tex]x\approx1432549[/tex]Hence, the answer is: There are 1,432,549 households in Iowa.