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Finding the Third Proportional to 57,357 and 124,551

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Solution

The third proportional to 57,357 and 124,551 is: 270,463.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,357 : 124,551 = 124,551 : x
  2. Step 2: Convert to fraction form
    57,357/124,551 = 124,551/x
  3. Step 3: Cross multiply
    57,357x = 124,551 × 124,551
  4. Step 4: Simplify right side
    57,357x = 15,512,951,601
  5. Step 5: Solve for x
    x = 15,512,951,601/57,357
  6. Step 6: Final answer
    x = 270,463.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.