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Finding the Third Proportional to 57,693 and 125,227

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Solution

The third proportional to 57,693 and 125,227 is: 271,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,693 : 125,227 = 125,227 : x
  2. Step 2: Convert to fraction form
    57,693/125,227 = 125,227/x
  3. Step 3: Cross multiply
    57,693x = 125,227 × 125,227
  4. Step 4: Simplify right side
    57,693x = 15,681,801,529
  5. Step 5: Solve for x
    x = 15,681,801,529/57,693
  6. Step 6: Final answer
    x = 271,814.63

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