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Finding the Third Proportional to 124,694 and 267,112

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Solution

The third proportional to 124,694 and 267,112 is: 572,191.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,694 : 267,112 = 267,112 : x
  2. Step 2: Convert to fraction form
    124,694/267,112 = 267,112/x
  3. Step 3: Cross multiply
    124,694x = 267,112 × 267,112
  4. Step 4: Simplify right side
    124,694x = 71,348,820,544
  5. Step 5: Solve for x
    x = 71,348,820,544/124,694
  6. Step 6: Final answer
    x = 572,191.29

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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.