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Finding the Third Proportional to 38,786 and 85,198

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Solution

The third proportional to 38,786 and 85,198 is: 187,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,786 : 85,198 = 85,198 : x
  2. Step 2: Convert to fraction form
    38,786/85,198 = 85,198/x
  3. Step 3: Cross multiply
    38,786x = 85,198 × 85,198
  4. Step 4: Simplify right side
    38,786x = 7,258,699,204
  5. Step 5: Solve for x
    x = 7,258,699,204/38,786
  6. Step 6: Final answer
    x = 187,147.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.