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Finding the Third Proportional to 124,682 and 267,229

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Solution

The third proportional to 124,682 and 267,229 is: 572,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,682 : 267,229 = 267,229 : x
  2. Step 2: Convert to fraction form
    124,682/267,229 = 267,229/x
  3. Step 3: Cross multiply
    124,682x = 267,229 × 267,229
  4. Step 4: Simplify right side
    124,682x = 71,411,338,441
  5. Step 5: Solve for x
    x = 71,411,338,441/124,682
  6. Step 6: Final answer
    x = 572,747.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.