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Finding the Third Proportional to 57,731 and 124,059

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Solution

The third proportional to 57,731 and 124,059 is: 266,592.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,731 : 124,059 = 124,059 : x
  2. Step 2: Convert to fraction form
    57,731/124,059 = 124,059/x
  3. Step 3: Cross multiply
    57,731x = 124,059 × 124,059
  4. Step 4: Simplify right side
    57,731x = 15,390,635,481
  5. Step 5: Solve for x
    x = 15,390,635,481/57,731
  6. Step 6: Final answer
    x = 266,592.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.