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Finding the Third Proportional to 135,128.25 and 171,524.25

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Solution

The third proportional to 135,128.25 and 171,524.25 is: 217,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,128.25 : 171,524.25 = 171,524.25 : x
  2. Step 2: Convert to fraction form
    135,128.25/171,524.25 = 171,524.25/x
  3. Step 3: Cross multiply
    135,128.25x = 171,524.25 × 171,524.25
  4. Step 4: Simplify right side
    135,128.25x = 29,420,568,338.06
  5. Step 5: Solve for x
    x = 29,420,568,338.06/135,128.25
  6. Step 6: Final answer
    x = 217,723.30

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.