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Finding the Third Proportional to 37,138 and 80,195

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Solution

The third proportional to 37,138 and 80,195 is: 173,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,138 : 80,195 = 80,195 : x
  2. Step 2: Convert to fraction form
    37,138/80,195 = 80,195/x
  3. Step 3: Cross multiply
    37,138x = 80,195 × 80,195
  4. Step 4: Simplify right side
    37,138x = 6,431,238,025
  5. Step 5: Solve for x
    x = 6,431,238,025/37,138
  6. Step 6: Final answer
    x = 173,171.36

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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.