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Finding the Third Proportional to 38,200 and 85,149

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Solution

The third proportional to 38,200 and 85,149 is: 189,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200 : 85,149 = 85,149 : x
  2. Step 2: Convert to fraction form
    38,200/85,149 = 85,149/x
  3. Step 3: Cross multiply
    38,200x = 85,149 × 85,149
  4. Step 4: Simplify right side
    38,200x = 7,250,352,201
  5. Step 5: Solve for x
    x = 7,250,352,201/38,200
  6. Step 6: Final answer
    x = 189,799.80

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.