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Finding the Third Proportional to 33,651 and 73,195

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Solution

The third proportional to 33,651 and 73,195 is: 159,207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,651 : 73,195 = 73,195 : x
  2. Step 2: Convert to fraction form
    33,651/73,195 = 73,195/x
  3. Step 3: Cross multiply
    33,651x = 73,195 × 73,195
  4. Step 4: Simplify right side
    33,651x = 5,357,508,025
  5. Step 5: Solve for x
    x = 5,357,508,025/33,651
  6. Step 6: Final answer
    x = 159,207.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.