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Finding the Third Proportional to 59,408 and 127,744

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Solution

The third proportional to 59,408 and 127,744 is: 274,685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,408 : 127,744 = 127,744 : x
  2. Step 2: Convert to fraction form
    59,408/127,744 = 127,744/x
  3. Step 3: Cross multiply
    59,408x = 127,744 × 127,744
  4. Step 4: Simplify right side
    59,408x = 16,318,529,536
  5. Step 5: Solve for x
    x = 16,318,529,536/59,408
  6. Step 6: Final answer
    x = 274,685.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.