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Finding the Third Proportional to 37,107 and 81,234

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Solution

The third proportional to 37,107 and 81,234 is: 177,836.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,107 : 81,234 = 81,234 : x
  2. Step 2: Convert to fraction form
    37,107/81,234 = 81,234/x
  3. Step 3: Cross multiply
    37,107x = 81,234 × 81,234
  4. Step 4: Simplify right side
    37,107x = 6,598,962,756
  5. Step 5: Solve for x
    x = 6,598,962,756/37,107
  6. Step 6: Final answer
    x = 177,836.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.