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Finding the Third Proportional to 41,182 and 84,309

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Solution

The third proportional to 41,182 and 84,309 is: 172,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,182 : 84,309 = 84,309 : x
  2. Step 2: Convert to fraction form
    41,182/84,309 = 84,309/x
  3. Step 3: Cross multiply
    41,182x = 84,309 × 84,309
  4. Step 4: Simplify right side
    41,182x = 7,108,007,481
  5. Step 5: Solve for x
    x = 7,108,007,481/41,182
  6. Step 6: Final answer
    x = 172,599.86

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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.