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Finding the Third Proportional to 41,082 and 88,718

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Solution

The third proportional to 41,082 and 88,718 is: 191,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,082 : 88,718 = 88,718 : x
  2. Step 2: Convert to fraction form
    41,082/88,718 = 88,718/x
  3. Step 3: Cross multiply
    41,082x = 88,718 × 88,718
  4. Step 4: Simplify right side
    41,082x = 7,870,883,524
  5. Step 5: Solve for x
    x = 7,870,883,524/41,082
  6. Step 6: Final answer
    x = 191,589.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.