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Finding the Third Proportional to 59,931 and 129,202.59

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Solution

The third proportional to 59,931 and 129,202.59 is: 278,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,931 : 129,202.59 = 129,202.59 : x
  2. Step 2: Convert to fraction form
    59,931/129,202.59 = 129,202.59/x
  3. Step 3: Cross multiply
    59,931x = 129,202.59 × 129,202.59
  4. Step 4: Simplify right side
    59,931x = 16,693,310,231.73
  5. Step 5: Solve for x
    x = 16,693,310,231.73/59,931
  6. Step 6: Final answer
    x = 278,542.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.