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Finding the Third Proportional to 71,794 and 166,845

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Solution

The third proportional to 71,794 and 166,845 is: 387,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,794 : 166,845 = 166,845 : x
  2. Step 2: Convert to fraction form
    71,794/166,845 = 166,845/x
  3. Step 3: Cross multiply
    71,794x = 166,845 × 166,845
  4. Step 4: Simplify right side
    71,794x = 27,837,254,025
  5. Step 5: Solve for x
    x = 27,837,254,025/71,794
  6. Step 6: Final answer
    x = 387,737.89

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.