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Finding the Third Proportional to 32,781 and 71,110

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Solution

The third proportional to 32,781 and 71,110 is: 154,254.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,781 : 71,110 = 71,110 : x
  2. Step 2: Convert to fraction form
    32,781/71,110 = 71,110/x
  3. Step 3: Cross multiply
    32,781x = 71,110 × 71,110
  4. Step 4: Simplify right side
    32,781x = 5,056,632,100
  5. Step 5: Solve for x
    x = 5,056,632,100/32,781
  6. Step 6: Final answer
    x = 154,254.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.