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Finding the Third Proportional to 123,744 and 264,192

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Solution

The third proportional to 123,744 and 264,192 is: 564,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,744 : 264,192 = 264,192 : x
  2. Step 2: Convert to fraction form
    123,744/264,192 = 264,192/x
  3. Step 3: Cross multiply
    123,744x = 264,192 × 264,192
  4. Step 4: Simplify right side
    123,744x = 69,797,412,864
  5. Step 5: Solve for x
    x = 69,797,412,864/123,744
  6. Step 6: Final answer
    x = 564,046.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.