Finding the Third Proportional to 42,712 and 98,314
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Solution
The third proportional to 42,712 and 98,314 is: 226,298.06
Step by Step Solution
- Step 1: Write the proportion equation
42,712 : 98,314 = 98,314 : x - Step 2: Convert to fraction form
42,712/98,314 = 98,314/x - Step 3: Cross multiply
42,712x = 98,314 × 98,314 - Step 4: Simplify right side
42,712x = 9,665,642,596 - Step 5: Solve for x
x = 9,665,642,596/42,712 - Step 6: Final answer
x = 226,298.06
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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.