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Finding the Third Proportional to 62,593 and 129,560

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Solution

The third proportional to 62,593 and 129,560 is: 268,173.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,593 : 129,560 = 129,560 : x
  2. Step 2: Convert to fraction form
    62,593/129,560 = 129,560/x
  3. Step 3: Cross multiply
    62,593x = 129,560 × 129,560
  4. Step 4: Simplify right side
    62,593x = 16,785,793,600
  5. Step 5: Solve for x
    x = 16,785,793,600/62,593
  6. Step 6: Final answer
    x = 268,173.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.