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Finding the Third Proportional to 40,833 and 89,685

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Solution

The third proportional to 40,833 and 89,685 is: 196,982.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,833 : 89,685 = 89,685 : x
  2. Step 2: Convert to fraction form
    40,833/89,685 = 89,685/x
  3. Step 3: Cross multiply
    40,833x = 89,685 × 89,685
  4. Step 4: Simplify right side
    40,833x = 8,043,399,225
  5. Step 5: Solve for x
    x = 8,043,399,225/40,833
  6. Step 6: Final answer
    x = 196,982.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.