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Finding the Third Proportional to 57,665 and 125,169

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Solution

The third proportional to 57,665 and 125,169 is: 271,694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,665 : 125,169 = 125,169 : x
  2. Step 2: Convert to fraction form
    57,665/125,169 = 125,169/x
  3. Step 3: Cross multiply
    57,665x = 125,169 × 125,169
  4. Step 4: Simplify right side
    57,665x = 15,667,278,561
  5. Step 5: Solve for x
    x = 15,667,278,561/57,665
  6. Step 6: Final answer
    x = 271,694.76

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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.