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Finding the Third Proportional to 80,966 and 170,734

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Solution

The third proportional to 80,966 and 170,734 is: 360,028.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,966 : 170,734 = 170,734 : x
  2. Step 2: Convert to fraction form
    80,966/170,734 = 170,734/x
  3. Step 3: Cross multiply
    80,966x = 170,734 × 170,734
  4. Step 4: Simplify right side
    80,966x = 29,150,098,756
  5. Step 5: Solve for x
    x = 29,150,098,756/80,966
  6. Step 6: Final answer
    x = 360,028.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.