Finding the Third Proportional to 42,712 and 99,776
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Solution
The third proportional to 42,712 and 99,776 is: 233,078.53
Step by Step Solution
- Step 1: Write the proportion equation
42,712 : 99,776 = 99,776 : x - Step 2: Convert to fraction form
42,712/99,776 = 99,776/x - Step 3: Cross multiply
42,712x = 99,776 × 99,776 - Step 4: Simplify right side
42,712x = 9,955,250,176 - Step 5: Solve for x
x = 9,955,250,176/42,712 - Step 6: Final answer
x = 233,078.53
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Why These Related Problems?
These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.