Step 1: Find the number of students in State A and State D.
From the table:
- The number of students in State A is 181,000 (or 181 in thousands).
- The number of students in State D is 79,000 (or 79 in thousands).
Step 2: Calculate the difference between the numbers in State A and State D.
The difference is:
\[
\text{Difference} = 181 - 79 = 102
\]
Step 3: Calculate the percentage increase.
The percentage increase is given by:
\[
\text{Percentage increase} = \frac{\text{Difference}}{\text{Number in State D}} \times 100 = \frac{102}{79} \times 100 \approx 129.11%
\]
Step 4: Conclusion.
Thus, the estimated number of home-schooled students in State A is approximately 125% greater than the number in State D.