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Finding the Third Proportional to 85,198.50 and 131,905.13

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Solution

The third proportional to 85,198.50 and 131,905.13 is: 204,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,198.50 : 131,905.13 = 131,905.13 : x
  2. Step 2: Convert to fraction form
    85,198.50/131,905.13 = 131,905.13/x
  3. Step 3: Cross multiply
    85,198.50x = 131,905.13 × 131,905.13
  4. Step 4: Simplify right side
    85,198.50x = 17,398,962,001.27
  5. Step 5: Solve for x
    x = 17,398,962,001.27/85,198.50
  6. Step 6: Final answer
    x = 204,216.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.