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Finding the Third Proportional to 79,644 and 171,624

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Solution

The third proportional to 79,644 and 171,624 is: 369,830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,644 : 171,624 = 171,624 : x
  2. Step 2: Convert to fraction form
    79,644/171,624 = 171,624/x
  3. Step 3: Cross multiply
    79,644x = 171,624 × 171,624
  4. Step 4: Simplify right side
    79,644x = 29,454,797,376
  5. Step 5: Solve for x
    x = 29,454,797,376/79,644
  6. Step 6: Final answer
    x = 369,830.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.