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Finding the Third Proportional to 38,161.13 and 85,704.75

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Solution

The third proportional to 38,161.13 and 85,704.75 is: 192,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,161.13 : 85,704.75 = 85,704.75 : x
  2. Step 2: Convert to fraction form
    38,161.13/85,704.75 = 85,704.75/x
  3. Step 3: Cross multiply
    38,161.13x = 85,704.75 × 85,704.75
  4. Step 4: Simplify right side
    38,161.13x = 7,345,304,172.56
  5. Step 5: Solve for x
    x = 7,345,304,172.56/38,161.13
  6. Step 6: Final answer
    x = 192,481.33

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.