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Finding the Third Proportional to 124,764 and 267,396

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Solution

The third proportional to 124,764 and 267,396 is: 573,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,764 : 267,396 = 267,396 : x
  2. Step 2: Convert to fraction form
    124,764/267,396 = 267,396/x
  3. Step 3: Cross multiply
    124,764x = 267,396 × 267,396
  4. Step 4: Simplify right side
    124,764x = 71,500,620,816
  5. Step 5: Solve for x
    x = 71,500,620,816/124,764
  6. Step 6: Final answer
    x = 573,086.95

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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.