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Finding the Third Proportional to 33,180.75 and 72,192.94

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Solution

The third proportional to 33,180.75 and 72,192.94 is: 157,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,180.75 : 72,192.94 = 72,192.94 : x
  2. Step 2: Convert to fraction form
    33,180.75/72,192.94 = 72,192.94/x
  3. Step 3: Cross multiply
    33,180.75x = 72,192.94 × 72,192.94
  4. Step 4: Simplify right side
    33,180.75x = 5,211,820,224.88
  5. Step 5: Solve for x
    x = 5,211,820,224.88/33,180.75
  6. Step 6: Final answer
    x = 157,073.61

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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.