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Finding the Third Proportional to 124,683 and 267,231

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Solution

The third proportional to 124,683 and 267,231 is: 572,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,683 : 267,231 = 267,231 : x
  2. Step 2: Convert to fraction form
    124,683/267,231 = 267,231/x
  3. Step 3: Cross multiply
    124,683x = 267,231 × 267,231
  4. Step 4: Simplify right side
    124,683x = 71,412,407,361
  5. Step 5: Solve for x
    x = 71,412,407,361/124,683
  6. Step 6: Final answer
    x = 572,751.76

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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.