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Finding the Third Proportional to 41,182 and 84,305

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Solution

The third proportional to 41,182 and 84,305 is: 172,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,182 : 84,305 = 84,305 : x
  2. Step 2: Convert to fraction form
    41,182/84,305 = 84,305/x
  3. Step 3: Cross multiply
    41,182x = 84,305 × 84,305
  4. Step 4: Simplify right side
    41,182x = 7,107,333,025
  5. Step 5: Solve for x
    x = 7,107,333,025/41,182
  6. Step 6: Final answer
    x = 172,583.48

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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.