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Finding the Third Proportional to 39,781.13 and 87,216.75

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Solution

The third proportional to 39,781.13 and 87,216.75 is: 191,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,781.13 : 87,216.75 = 87,216.75 : x
  2. Step 2: Convert to fraction form
    39,781.13/87,216.75 = 87,216.75/x
  3. Step 3: Cross multiply
    39,781.13x = 87,216.75 × 87,216.75
  4. Step 4: Simplify right side
    39,781.13x = 7,606,761,480.56
  5. Step 5: Solve for x
    x = 7,606,761,480.56/39,781.13
  6. Step 6: Final answer
    x = 191,215.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.