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Finding the Third Proportional to 82,126 and 177,380

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Solution

The third proportional to 82,126 and 177,380 is: 383,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,126 : 177,380 = 177,380 : x
  2. Step 2: Convert to fraction form
    82,126/177,380 = 177,380/x
  3. Step 3: Cross multiply
    82,126x = 177,380 × 177,380
  4. Step 4: Simplify right side
    82,126x = 31,463,664,400
  5. Step 5: Solve for x
    x = 31,463,664,400/82,126
  6. Step 6: Final answer
    x = 383,114.54

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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.