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Finding the Third Proportional to 62,657 and 135,701

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Solution

The third proportional to 62,657 and 135,701 is: 293,897.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,657 : 135,701 = 135,701 : x
  2. Step 2: Convert to fraction form
    62,657/135,701 = 135,701/x
  3. Step 3: Cross multiply
    62,657x = 135,701 × 135,701
  4. Step 4: Simplify right side
    62,657x = 18,414,761,401
  5. Step 5: Solve for x
    x = 18,414,761,401/62,657
  6. Step 6: Final answer
    x = 293,897.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.