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Finding the Third Proportional to 54,762 and 82,449

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Solution

The third proportional to 54,762 and 82,449 is: 124,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,762 : 82,449 = 82,449 : x
  2. Step 2: Convert to fraction form
    54,762/82,449 = 82,449/x
  3. Step 3: Cross multiply
    54,762x = 82,449 × 82,449
  4. Step 4: Simplify right side
    54,762x = 6,797,837,601
  5. Step 5: Solve for x
    x = 6,797,837,601/54,762
  6. Step 6: Final answer
    x = 124,134.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.