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Finding the Third Proportional to 39,269.25 and 85,868.75

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Solution

The third proportional to 39,269.25 and 85,868.75 is: 187,766.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,269.25 : 85,868.75 = 85,868.75 : x
  2. Step 2: Convert to fraction form
    39,269.25/85,868.75 = 85,868.75/x
  3. Step 3: Cross multiply
    39,269.25x = 85,868.75 × 85,868.75
  4. Step 4: Simplify right side
    39,269.25x = 7,373,442,226.56
  5. Step 5: Solve for x
    x = 7,373,442,226.56/39,269.25
  6. Step 6: Final answer
    x = 187,766.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.