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Finding the Third Proportional to 80,837 and 175,664

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Solution

The third proportional to 80,837 and 175,664 is: 381,729.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,837 : 175,664 = 175,664 : x
  2. Step 2: Convert to fraction form
    80,837/175,664 = 175,664/x
  3. Step 3: Cross multiply
    80,837x = 175,664 × 175,664
  4. Step 4: Simplify right side
    80,837x = 30,857,840,896
  5. Step 5: Solve for x
    x = 30,857,840,896/80,837
  6. Step 6: Final answer
    x = 381,729.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.