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Finding the Third Proportional to 37,137.55 and 80,195.22

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Solution

The third proportional to 37,137.55 and 80,195.22 is: 173,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,137.55 : 80,195.22 = 80,195.22 : x
  2. Step 2: Convert to fraction form
    37,137.55/80,195.22 = 80,195.22/x
  3. Step 3: Cross multiply
    37,137.55x = 80,195.22 × 80,195.22
  4. Step 4: Simplify right side
    37,137.55x = 6,431,273,423.62
  5. Step 5: Solve for x
    x = 6,431,273,423.62/37,137.55
  6. Step 6: Final answer
    x = 173,174.41

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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.