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Finding the Third Proportional to 57,732.75 and 125,327.25

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Solution

The third proportional to 57,732.75 and 125,327.25 is: 272,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,732.75 : 125,327.25 = 125,327.25 : x
  2. Step 2: Convert to fraction form
    57,732.75/125,327.25 = 125,327.25/x
  3. Step 3: Cross multiply
    57,732.75x = 125,327.25 × 125,327.25
  4. Step 4: Simplify right side
    57,732.75x = 15,706,919,592.56
  5. Step 5: Solve for x
    x = 15,706,919,592.56/57,732.75
  6. Step 6: Final answer
    x = 272,062.56

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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.