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Finding the Third Proportional to 57,042 and 123,924

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Solution

The third proportional to 57,042 and 123,924 is: 269,225.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,042 : 123,924 = 123,924 : x
  2. Step 2: Convert to fraction form
    57,042/123,924 = 123,924/x
  3. Step 3: Cross multiply
    57,042x = 123,924 × 123,924
  4. Step 4: Simplify right side
    57,042x = 15,357,157,776
  5. Step 5: Solve for x
    x = 15,357,157,776/57,042
  6. Step 6: Final answer
    x = 269,225.44

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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.