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Finding the Third Proportional to 54,882 and 82,092

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Solution

The third proportional to 54,882 and 82,092 is: 122,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,882 : 82,092 = 82,092 : x
  2. Step 2: Convert to fraction form
    54,882/82,092 = 82,092/x
  3. Step 3: Cross multiply
    54,882x = 82,092 × 82,092
  4. Step 4: Simplify right side
    54,882x = 6,739,096,464
  5. Step 5: Solve for x
    x = 6,739,096,464/54,882
  6. Step 6: Final answer
    x = 122,792.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.