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Finding the Third Proportional to 57,758 and 125,398

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Solution

The third proportional to 57,758 and 125,398 is: 272,250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,758 : 125,398 = 125,398 : x
  2. Step 2: Convert to fraction form
    57,758/125,398 = 125,398/x
  3. Step 3: Cross multiply
    57,758x = 125,398 × 125,398
  4. Step 4: Simplify right side
    57,758x = 15,724,658,404
  5. Step 5: Solve for x
    x = 15,724,658,404/57,758
  6. Step 6: Final answer
    x = 272,250.74

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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.