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:
![(73060)/(5.1)=(x)/(100)](https://img.qammunity.org/2023/formulas/mathematics/college/ji54v3u86qoe1i2wobizl01mk3u9xcnmnq.png)
Now you need to solve for "x" in order to find its value:
![\begin{gathered} (100)((73060)/(5.1))=x \\ \\ (7306000)/(5.1)=x \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/a5dcpo91maofs5o3jdpblb6ju9eknovd4e.png)
![x\approx1432549](https://img.qammunity.org/2023/formulas/mathematics/college/yk5geucbox5rkga3kp9hb8rnuuejcnhu7l.png)
Hence, the answer is: There are 1,432,549 households in Iowa.