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Finding the Third Proportional to 41,168 and 85,566

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Solution

The third proportional to 41,168 and 85,566 is: 177,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,168 : 85,566 = 85,566 : x
  2. Step 2: Convert to fraction form
    41,168/85,566 = 85,566/x
  3. Step 3: Cross multiply
    41,168x = 85,566 × 85,566
  4. Step 4: Simplify right side
    41,168x = 7,321,540,356
  5. Step 5: Solve for x
    x = 7,321,540,356/41,168
  6. Step 6: Final answer
    x = 177,845.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.