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Finding the Third Proportional to 41,919 and 88,680

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Solution

The third proportional to 41,919 and 88,680 is: 187,603.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,919 : 88,680 = 88,680 : x
  2. Step 2: Convert to fraction form
    41,919/88,680 = 88,680/x
  3. Step 3: Cross multiply
    41,919x = 88,680 × 88,680
  4. Step 4: Simplify right side
    41,919x = 7,864,142,400
  5. Step 5: Solve for x
    x = 7,864,142,400/41,919
  6. Step 6: Final answer
    x = 187,603.29

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.