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Finding the Third Proportional to 82,452 and 177,936

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Solution

The third proportional to 82,452 and 177,936 is: 383,995.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,452 : 177,936 = 177,936 : x
  2. Step 2: Convert to fraction form
    82,452/177,936 = 177,936/x
  3. Step 3: Cross multiply
    82,452x = 177,936 × 177,936
  4. Step 4: Simplify right side
    82,452x = 31,661,220,096
  5. Step 5: Solve for x
    x = 31,661,220,096/82,452
  6. Step 6: Final answer
    x = 383,995.78

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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.