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Finding the Third Proportional to 41,082.75 and 88,391.25

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Solution

The third proportional to 41,082.75 and 88,391.25 is: 190,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,082.75 : 88,391.25 = 88,391.25 : x
  2. Step 2: Convert to fraction form
    41,082.75/88,391.25 = 88,391.25/x
  3. Step 3: Cross multiply
    41,082.75x = 88,391.25 × 88,391.25
  4. Step 4: Simplify right side
    41,082.75x = 7,813,013,076.56
  5. Step 5: Solve for x
    x = 7,813,013,076.56/41,082.75
  6. Step 6: Final answer
    x = 190,177.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.