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Finding the Third Proportional to 37,412 and 82,204

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Solution

The third proportional to 37,412 and 82,204 is: 180,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,412 : 82,204 = 82,204 : x
  2. Step 2: Convert to fraction form
    37,412/82,204 = 82,204/x
  3. Step 3: Cross multiply
    37,412x = 82,204 × 82,204
  4. Step 4: Simplify right side
    37,412x = 6,757,497,616
  5. Step 5: Solve for x
    x = 6,757,497,616/37,412
  6. Step 6: Final answer
    x = 180,623.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.