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Finding the Third Proportional to 80,975 and 122,192

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Solution

The third proportional to 80,975 and 122,192 is: 184,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,975 : 122,192 = 122,192 : x
  2. Step 2: Convert to fraction form
    80,975/122,192 = 122,192/x
  3. Step 3: Cross multiply
    80,975x = 122,192 × 122,192
  4. Step 4: Simplify right side
    80,975x = 14,930,884,864
  5. Step 5: Solve for x
    x = 14,930,884,864/80,975
  6. Step 6: Final answer
    x = 184,388.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.