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Finding the Third Proportional to 135,207.25 and 195,839.75

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Solution

The third proportional to 135,207.25 and 195,839.75 is: 283,662.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,207.25 : 195,839.75 = 195,839.75 : x
  2. Step 2: Convert to fraction form
    135,207.25/195,839.75 = 195,839.75/x
  3. Step 3: Cross multiply
    135,207.25x = 195,839.75 × 195,839.75
  4. Step 4: Simplify right side
    135,207.25x = 38,353,207,680.06
  5. Step 5: Solve for x
    x = 38,353,207,680.06/135,207.25
  6. Step 6: Final answer
    x = 283,662.36

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.