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Finding the Third Proportional to 60,593 and 129,610

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Solution

The third proportional to 60,593 and 129,610 is: 277,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,593 : 129,610 = 129,610 : x
  2. Step 2: Convert to fraction form
    60,593/129,610 = 129,610/x
  3. Step 3: Cross multiply
    60,593x = 129,610 × 129,610
  4. Step 4: Simplify right side
    60,593x = 16,798,752,100
  5. Step 5: Solve for x
    x = 16,798,752,100/60,593
  6. Step 6: Final answer
    x = 277,239.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.