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Finding the Third Proportional to 124,652 and 267,016

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Solution

The third proportional to 124,652 and 267,016 is: 571,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,652 : 267,016 = 267,016 : x
  2. Step 2: Convert to fraction form
    124,652/267,016 = 267,016/x
  3. Step 3: Cross multiply
    124,652x = 267,016 × 267,016
  4. Step 4: Simplify right side
    124,652x = 71,297,544,256
  5. Step 5: Solve for x
    x = 71,297,544,256/124,652
  6. Step 6: Final answer
    x = 571,972.73

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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.