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Finding the Third Proportional to 56,934 and 123,372

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Solution

The third proportional to 56,934 and 123,372 is: 267,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,934 : 123,372 = 123,372 : x
  2. Step 2: Convert to fraction form
    56,934/123,372 = 123,372/x
  3. Step 3: Cross multiply
    56,934x = 123,372 × 123,372
  4. Step 4: Simplify right side
    56,934x = 15,220,650,384
  5. Step 5: Solve for x
    x = 15,220,650,384/56,934
  6. Step 6: Final answer
    x = 267,338.50

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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.