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Finding the Third Proportional to 33,110 and 72,044

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Solution

The third proportional to 33,110 and 72,044 is: 156,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,110 : 72,044 = 72,044 : x
  2. Step 2: Convert to fraction form
    33,110/72,044 = 72,044/x
  3. Step 3: Cross multiply
    33,110x = 72,044 × 72,044
  4. Step 4: Simplify right side
    33,110x = 5,190,337,936
  5. Step 5: Solve for x
    x = 5,190,337,936/33,110
  6. Step 6: Final answer
    x = 156,760.43

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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.