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Finding the Third Proportional to 57,372 and 123,966

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Solution

The third proportional to 57,372 and 123,966 is: 267,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,372 : 123,966 = 123,966 : x
  2. Step 2: Convert to fraction form
    57,372/123,966 = 123,966/x
  3. Step 3: Cross multiply
    57,372x = 123,966 × 123,966
  4. Step 4: Simplify right side
    57,372x = 15,367,569,156
  5. Step 5: Solve for x
    x = 15,367,569,156/57,372
  6. Step 6: Final answer
    x = 267,858.35

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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.