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Finding the Third Proportional to 123,944 and 267,568

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Solution

The third proportional to 123,944 and 267,568 is: 577,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,944 : 267,568 = 267,568 : x
  2. Step 2: Convert to fraction form
    123,944/267,568 = 267,568/x
  3. Step 3: Cross multiply
    123,944x = 267,568 × 267,568
  4. Step 4: Simplify right side
    123,944x = 71,592,634,624
  5. Step 5: Solve for x
    x = 71,592,634,624/123,944
  6. Step 6: Final answer
    x = 577,620.82

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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.