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Finding the Third Proportional to 41,177 and 84,145

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Solution

The third proportional to 41,177 and 84,145 is: 171,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,177 : 84,145 = 84,145 : x
  2. Step 2: Convert to fraction form
    41,177/84,145 = 84,145/x
  3. Step 3: Cross multiply
    41,177x = 84,145 × 84,145
  4. Step 4: Simplify right side
    41,177x = 7,080,381,025
  5. Step 5: Solve for x
    x = 7,080,381,025/41,177
  6. Step 6: Final answer
    x = 171,949.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.