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Finding the Third Proportional to 85,866 and 186,517

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Solution

The third proportional to 85,866 and 186,517 is: 405,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,866 : 186,517 = 186,517 : x
  2. Step 2: Convert to fraction form
    85,866/186,517 = 186,517/x
  3. Step 3: Cross multiply
    85,866x = 186,517 × 186,517
  4. Step 4: Simplify right side
    85,866x = 34,788,591,289
  5. Step 5: Solve for x
    x = 34,788,591,289/85,866
  6. Step 6: Final answer
    x = 405,149.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.