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Finding the Third Proportional to 124,677 and 267,214

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Solution

The third proportional to 124,677 and 267,214 is: 572,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,677 : 267,214 = 267,214 : x
  2. Step 2: Convert to fraction form
    124,677/267,214 = 267,214/x
  3. Step 3: Cross multiply
    124,677x = 267,214 × 267,214
  4. Step 4: Simplify right side
    124,677x = 71,403,321,796
  5. Step 5: Solve for x
    x = 71,403,321,796/124,677
  6. Step 6: Final answer
    x = 572,706.45

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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.