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Finding the Third Proportional to 41,680 and 84,902

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Solution

The third proportional to 41,680 and 84,902 is: 172,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,680 : 84,902 = 84,902 : x
  2. Step 2: Convert to fraction form
    41,680/84,902 = 84,902/x
  3. Step 3: Cross multiply
    41,680x = 84,902 × 84,902
  4. Step 4: Simplify right side
    41,680x = 7,208,349,604
  5. Step 5: Solve for x
    x = 7,208,349,604/41,680
  6. Step 6: Final answer
    x = 172,945.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.