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Finding the Third Proportional to 33,772.50 and 78,183.75

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Solution

The third proportional to 33,772.50 and 78,183.75 is: 180,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,772.50 : 78,183.75 = 78,183.75 : x
  2. Step 2: Convert to fraction form
    33,772.50/78,183.75 = 78,183.75/x
  3. Step 3: Cross multiply
    33,772.50x = 78,183.75 × 78,183.75
  4. Step 4: Simplify right side
    33,772.50x = 6,112,698,764.06
  5. Step 5: Solve for x
    x = 6,112,698,764.06/33,772.50
  6. Step 6: Final answer
    x = 180,996.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.