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Finding the Third Proportional to 82,392 and 177,204

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Solution

The third proportional to 82,392 and 177,204 is: 381,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,392 : 177,204 = 177,204 : x
  2. Step 2: Convert to fraction form
    82,392/177,204 = 177,204/x
  3. Step 3: Cross multiply
    82,392x = 177,204 × 177,204
  4. Step 4: Simplify right side
    82,392x = 31,401,257,616
  5. Step 5: Solve for x
    x = 31,401,257,616/82,392
  6. Step 6: Final answer
    x = 381,120.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.