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Finding the Third Proportional to 80,716 and 159,359

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Solution

The third proportional to 80,716 and 159,359 is: 314,625.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,716 : 159,359 = 159,359 : x
  2. Step 2: Convert to fraction form
    80,716/159,359 = 159,359/x
  3. Step 3: Cross multiply
    80,716x = 159,359 × 159,359
  4. Step 4: Simplify right side
    80,716x = 25,395,290,881
  5. Step 5: Solve for x
    x = 25,395,290,881/80,716
  6. Step 6: Final answer
    x = 314,625.24

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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.