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Finding the Third Proportional to 95,993.50 and 135,120.50

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Solution

The third proportional to 95,993.50 and 135,120.50 is: 190,195.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,993.50 : 135,120.50 = 135,120.50 : x
  2. Step 2: Convert to fraction form
    95,993.50/135,120.50 = 135,120.50/x
  3. Step 3: Cross multiply
    95,993.50x = 135,120.50 × 135,120.50
  4. Step 4: Simplify right side
    95,993.50x = 18,257,549,520.25
  5. Step 5: Solve for x
    x = 18,257,549,520.25/95,993.50
  6. Step 6: Final answer
    x = 190,195.69

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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.