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Finding the Third Proportional to 135,550.13 and 202,914.75

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Solution

The third proportional to 135,550.13 and 202,914.75 is: 303,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,550.13 : 202,914.75 = 202,914.75 : x
  2. Step 2: Convert to fraction form
    135,550.13/202,914.75 = 202,914.75/x
  3. Step 3: Cross multiply
    135,550.13x = 202,914.75 × 202,914.75
  4. Step 4: Simplify right side
    135,550.13x = 41,174,395,767.56
  5. Step 5: Solve for x
    x = 41,174,395,767.56/135,550.13
  6. Step 6: Final answer
    x = 303,757.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.