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Finding the Third Proportional to 80,713 and 159,361

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Solution

The third proportional to 80,713 and 159,361 is: 314,644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,713 : 159,361 = 159,361 : x
  2. Step 2: Convert to fraction form
    80,713/159,361 = 159,361/x
  3. Step 3: Cross multiply
    80,713x = 159,361 × 159,361
  4. Step 4: Simplify right side
    80,713x = 25,395,928,321
  5. Step 5: Solve for x
    x = 25,395,928,321/80,713
  6. Step 6: Final answer
    x = 314,644.83

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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.