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Finding the Third Proportional to 38,167 and 81,980

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Solution

The third proportional to 38,167 and 81,980 is: 176,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,167 : 81,980 = 81,980 : x
  2. Step 2: Convert to fraction form
    38,167/81,980 = 81,980/x
  3. Step 3: Cross multiply
    38,167x = 81,980 × 81,980
  4. Step 4: Simplify right side
    38,167x = 6,720,720,400
  5. Step 5: Solve for x
    x = 6,720,720,400/38,167
  6. Step 6: Final answer
    x = 176,087.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.