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Finding the Third Proportional to 123,679 and 267,122

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Solution

The third proportional to 123,679 and 267,122 is: 576,930.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,679 : 267,122 = 267,122 : x
  2. Step 2: Convert to fraction form
    123,679/267,122 = 267,122/x
  3. Step 3: Cross multiply
    123,679x = 267,122 × 267,122
  4. Step 4: Simplify right side
    123,679x = 71,354,162,884
  5. Step 5: Solve for x
    x = 71,354,162,884/123,679
  6. Step 6: Final answer
    x = 576,930.30

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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.