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Finding the Third Proportional to 57,387 and 123,838

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Solution

The third proportional to 57,387 and 123,838 is: 267,235.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,387 : 123,838 = 123,838 : x
  2. Step 2: Convert to fraction form
    57,387/123,838 = 123,838/x
  3. Step 3: Cross multiply
    57,387x = 123,838 × 123,838
  4. Step 4: Simplify right side
    57,387x = 15,335,850,244
  5. Step 5: Solve for x
    x = 15,335,850,244/57,387
  6. Step 6: Final answer
    x = 267,235.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.