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Finding the Third Proportional to 61,414 and 129,019

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Solution

The third proportional to 61,414 and 129,019 is: 271,044.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,414 : 129,019 = 129,019 : x
  2. Step 2: Convert to fraction form
    61,414/129,019 = 129,019/x
  3. Step 3: Cross multiply
    61,414x = 129,019 × 129,019
  4. Step 4: Simplify right side
    61,414x = 16,645,902,361
  5. Step 5: Solve for x
    x = 16,645,902,361/61,414
  6. Step 6: Final answer
    x = 271,044.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.