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Finding the Third Proportional to 82,962 and 169,812

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Solution

The third proportional to 82,962 and 169,812 is: 347,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,962 : 169,812 = 169,812 : x
  2. Step 2: Convert to fraction form
    82,962/169,812 = 169,812/x
  3. Step 3: Cross multiply
    82,962x = 169,812 × 169,812
  4. Step 4: Simplify right side
    82,962x = 28,836,115,344
  5. Step 5: Solve for x
    x = 28,836,115,344/82,962
  6. Step 6: Final answer
    x = 347,582.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.