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Finding the Third Proportional to 124,132 and 267,941

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Solution

The third proportional to 124,132 and 267,941 is: 578,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,132 : 267,941 = 267,941 : x
  2. Step 2: Convert to fraction form
    124,132/267,941 = 267,941/x
  3. Step 3: Cross multiply
    124,132x = 267,941 × 267,941
  4. Step 4: Simplify right side
    124,132x = 71,792,379,481
  5. Step 5: Solve for x
    x = 71,792,379,481/124,132
  6. Step 6: Final answer
    x = 578,355.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.