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Finding the Third Proportional to 41,928 and 90,492

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Solution

The third proportional to 41,928 and 90,492 is: 195,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,928 : 90,492 = 90,492 : x
  2. Step 2: Convert to fraction form
    41,928/90,492 = 90,492/x
  3. Step 3: Cross multiply
    41,928x = 90,492 × 90,492
  4. Step 4: Simplify right side
    41,928x = 8,188,802,064
  5. Step 5: Solve for x
    x = 8,188,802,064/41,928
  6. Step 6: Final answer
    x = 195,306.29

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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.