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Finding the Third Proportional to 85,849 and 131,325

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Solution

The third proportional to 85,849 and 131,325 is: 200,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,849 : 131,325 = 131,325 : x
  2. Step 2: Convert to fraction form
    85,849/131,325 = 131,325/x
  3. Step 3: Cross multiply
    85,849x = 131,325 × 131,325
  4. Step 4: Simplify right side
    85,849x = 17,246,255,625
  5. Step 5: Solve for x
    x = 17,246,255,625/85,849
  6. Step 6: Final answer
    x = 200,890.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.