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Finding the Third Proportional to 61,442 and 129,442

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Solution

The third proportional to 61,442 and 129,442 is: 272,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,442 : 129,442 = 129,442 : x
  2. Step 2: Convert to fraction form
    61,442/129,442 = 129,442/x
  3. Step 3: Cross multiply
    61,442x = 129,442 × 129,442
  4. Step 4: Simplify right side
    61,442x = 16,755,231,364
  5. Step 5: Solve for x
    x = 16,755,231,364/61,442
  6. Step 6: Final answer
    x = 272,699.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.