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Finding the Third Proportional to 80,706.38 and 159,346.13

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Solution

The third proportional to 80,706.38 and 159,346.13 is: 314,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,706.38 : 159,346.13 = 159,346.13 : x
  2. Step 2: Convert to fraction form
    80,706.38/159,346.13 = 159,346.13/x
  3. Step 3: Cross multiply
    80,706.38x = 159,346.13 × 159,346.13
  4. Step 4: Simplify right side
    80,706.38x = 25,391,187,552.52
  5. Step 5: Solve for x
    x = 25,391,187,552.52/80,706.38
  6. Step 6: Final answer
    x = 314,611.92

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.