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Finding the Third Proportional to 57,131 and 123,793

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Solution

The third proportional to 57,131 and 123,793 is: 268,238.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,131 : 123,793 = 123,793 : x
  2. Step 2: Convert to fraction form
    57,131/123,793 = 123,793/x
  3. Step 3: Cross multiply
    57,131x = 123,793 × 123,793
  4. Step 4: Simplify right side
    57,131x = 15,324,706,849
  5. Step 5: Solve for x
    x = 15,324,706,849/57,131
  6. Step 6: Final answer
    x = 268,238.03

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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.