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Finding the Third Proportional to 39,109.50 and 85,992.75

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Solution

The third proportional to 39,109.50 and 85,992.75 is: 189,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,109.50 : 85,992.75 = 85,992.75 : x
  2. Step 2: Convert to fraction form
    39,109.50/85,992.75 = 85,992.75/x
  3. Step 3: Cross multiply
    39,109.50x = 85,992.75 × 85,992.75
  4. Step 4: Simplify right side
    39,109.50x = 7,394,753,052.56
  5. Step 5: Solve for x
    x = 7,394,753,052.56/39,109.50
  6. Step 6: Final answer
    x = 189,078.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.