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Finding the Third Proportional to 85,861 and 184,418

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Solution

The third proportional to 85,861 and 184,418 is: 396,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,861 : 184,418 = 184,418 : x
  2. Step 2: Convert to fraction form
    85,861/184,418 = 184,418/x
  3. Step 3: Cross multiply
    85,861x = 184,418 × 184,418
  4. Step 4: Simplify right side
    85,861x = 34,009,998,724
  5. Step 5: Solve for x
    x = 34,009,998,724/85,861
  6. Step 6: Final answer
    x = 396,105.32

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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.