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Finding the Third Proportional to 41,081 and 84,109

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Solution

The third proportional to 41,081 and 84,109 is: 172,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,081 : 84,109 = 84,109 : x
  2. Step 2: Convert to fraction form
    41,081/84,109 = 84,109/x
  3. Step 3: Cross multiply
    41,081x = 84,109 × 84,109
  4. Step 4: Simplify right side
    41,081x = 7,074,323,881
  5. Step 5: Solve for x
    x = 7,074,323,881/41,081
  6. Step 6: Final answer
    x = 172,204.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.