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Finding the Third Proportional to 37,136.25 and 80,190.75

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Solution

The third proportional to 37,136.25 and 80,190.75 is: 173,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,136.25 : 80,190.75 = 80,190.75 : x
  2. Step 2: Convert to fraction form
    37,136.25/80,190.75 = 80,190.75/x
  3. Step 3: Cross multiply
    37,136.25x = 80,190.75 × 80,190.75
  4. Step 4: Simplify right side
    37,136.25x = 6,430,556,385.56
  5. Step 5: Solve for x
    x = 6,430,556,385.56/37,136.25
  6. Step 6: Final answer
    x = 173,161.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.