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Finding the Third Proportional to 86,166 and 184,812

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Solution

The third proportional to 86,166 and 184,812 is: 396,391.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,166 : 184,812 = 184,812 : x
  2. Step 2: Convert to fraction form
    86,166/184,812 = 184,812/x
  3. Step 3: Cross multiply
    86,166x = 184,812 × 184,812
  4. Step 4: Simplify right side
    86,166x = 34,155,475,344
  5. Step 5: Solve for x
    x = 34,155,475,344/86,166
  6. Step 6: Final answer
    x = 396,391.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.