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Finding the Third Proportional to 80,966 and 126,747

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Solution

The third proportional to 80,966 and 126,747 is: 198,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,966 : 126,747 = 126,747 : x
  2. Step 2: Convert to fraction form
    80,966/126,747 = 126,747/x
  3. Step 3: Cross multiply
    80,966x = 126,747 × 126,747
  4. Step 4: Simplify right side
    80,966x = 16,064,802,009
  5. Step 5: Solve for x
    x = 16,064,802,009/80,966
  6. Step 6: Final answer
    x = 198,414.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.