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Finding the Third Proportional to 59,408 and 86,438

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Solution

The third proportional to 59,408 and 86,438 is: 125,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,408 : 86,438 = 86,438 : x
  2. Step 2: Convert to fraction form
    59,408/86,438 = 86,438/x
  3. Step 3: Cross multiply
    59,408x = 86,438 × 86,438
  4. Step 4: Simplify right side
    59,408x = 7,471,527,844
  5. Step 5: Solve for x
    x = 7,471,527,844/59,408
  6. Step 6: Final answer
    x = 125,766.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.