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Finding the Third Proportional to 131,640.19 and 185,614.03

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Solution

The third proportional to 131,640.19 and 185,614.03 is: 261,717.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,640.19 : 185,614.03 = 185,614.03 : x
  2. Step 2: Convert to fraction form
    131,640.19/185,614.03 = 185,614.03/x
  3. Step 3: Cross multiply
    131,640.19x = 185,614.03 × 185,614.03
  4. Step 4: Simplify right side
    131,640.19x = 34,452,568,596.88
  5. Step 5: Solve for x
    x = 34,452,568,596.88/131,640.19
  6. Step 6: Final answer
    x = 261,717.71

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.