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Finding the Third Proportional to 54,882 and 82,723

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Solution

The third proportional to 54,882 and 82,723 is: 124,687.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882 : 82,723 = 82,723 : x
  2. Step 2: Convert to fraction form
    54,882/82,723 = 82,723/x
  3. Step 3: Cross multiply
    54,882x = 82,723 × 82,723
  4. Step 4: Simplify right side
    54,882x = 6,843,094,729
  5. Step 5: Solve for x
    x = 6,843,094,729/54,882
  6. Step 6: Final answer
    x = 124,687.42

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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.