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Finding the Third Proportional to 87,993 and 116,680.50

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Solution

The third proportional to 87,993 and 116,680.50 is: 154,720.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,993 : 116,680.50 = 116,680.50 : x
  2. Step 2: Convert to fraction form
    87,993/116,680.50 = 116,680.50/x
  3. Step 3: Cross multiply
    87,993x = 116,680.50 × 116,680.50
  4. Step 4: Simplify right side
    87,993x = 13,614,339,080.25
  5. Step 5: Solve for x
    x = 13,614,339,080.25/87,993
  6. Step 6: Final answer
    x = 154,720.71

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.