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Finding the Third Proportional to 85,836 and 184,920

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Solution

The third proportional to 85,836 and 184,920 is: 398,380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,836 : 184,920 = 184,920 : x
  2. Step 2: Convert to fraction form
    85,836/184,920 = 184,920/x
  3. Step 3: Cross multiply
    85,836x = 184,920 × 184,920
  4. Step 4: Simplify right side
    85,836x = 34,195,406,400
  5. Step 5: Solve for x
    x = 34,195,406,400/85,836
  6. Step 6: Final answer
    x = 398,380.71

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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.