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Finding the Third Proportional to 85,876 and 184,451

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Solution

The third proportional to 85,876 and 184,451 is: 396,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,876 : 184,451 = 184,451 : x
  2. Step 2: Convert to fraction form
    85,876/184,451 = 184,451/x
  3. Step 3: Cross multiply
    85,876x = 184,451 × 184,451
  4. Step 4: Simplify right side
    85,876x = 34,022,171,401
  5. Step 5: Solve for x
    x = 34,022,171,401/85,876
  6. Step 6: Final answer
    x = 396,177.88

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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.