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Finding the Third Proportional to 79,624 and 171,680

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Solution

The third proportional to 79,624 and 171,680 is: 370,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,624 : 171,680 = 171,680 : x
  2. Step 2: Convert to fraction form
    79,624/171,680 = 171,680/x
  3. Step 3: Cross multiply
    79,624x = 171,680 × 171,680
  4. Step 4: Simplify right side
    79,624x = 29,474,022,400
  5. Step 5: Solve for x
    x = 29,474,022,400/79,624
  6. Step 6: Final answer
    x = 370,165.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.