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Finding the Third Proportional to 80,647 and 175,099

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Solution

The third proportional to 80,647 and 175,099 is: 380,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,647 : 175,099 = 175,099 : x
  2. Step 2: Convert to fraction form
    80,647/175,099 = 175,099/x
  3. Step 3: Cross multiply
    80,647x = 175,099 × 175,099
  4. Step 4: Simplify right side
    80,647x = 30,659,659,801
  5. Step 5: Solve for x
    x = 30,659,659,801/80,647
  6. Step 6: Final answer
    x = 380,171.11

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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.