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Finding the Third Proportional to 59,438 and 129,940

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Solution

The third proportional to 59,438 and 129,940 is: 284,067.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,438 : 129,940 = 129,940 : x
  2. Step 2: Convert to fraction form
    59,438/129,940 = 129,940/x
  3. Step 3: Cross multiply
    59,438x = 129,940 × 129,940
  4. Step 4: Simplify right side
    59,438x = 16,884,403,600
  5. Step 5: Solve for x
    x = 16,884,403,600/59,438
  6. Step 6: Final answer
    x = 284,067.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.