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Finding the Third Proportional to 57,624 and 125,344

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Solution

The third proportional to 57,624 and 125,344 is: 272,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,624 : 125,344 = 125,344 : x
  2. Step 2: Convert to fraction form
    57,624/125,344 = 125,344/x
  3. Step 3: Cross multiply
    57,624x = 125,344 × 125,344
  4. Step 4: Simplify right side
    57,624x = 15,711,118,336
  5. Step 5: Solve for x
    x = 15,711,118,336/57,624
  6. Step 6: Final answer
    x = 272,648.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.