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Finding the Third Proportional to 41,018 and 85,309

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Solution

The third proportional to 41,018 and 85,309 is: 177,425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,018 : 85,309 = 85,309 : x
  2. Step 2: Convert to fraction form
    41,018/85,309 = 85,309/x
  3. Step 3: Cross multiply
    41,018x = 85,309 × 85,309
  4. Step 4: Simplify right side
    41,018x = 7,277,625,481
  5. Step 5: Solve for x
    x = 7,277,625,481/41,018
  6. Step 6: Final answer
    x = 177,425.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.