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Finding the Third Proportional to 41,186 and 68,169

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Solution

The third proportional to 41,186 and 68,169 is: 112,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,186 : 68,169 = 68,169 : x
  2. Step 2: Convert to fraction form
    41,186/68,169 = 68,169/x
  3. Step 3: Cross multiply
    41,186x = 68,169 × 68,169
  4. Step 4: Simplify right side
    41,186x = 4,647,012,561
  5. Step 5: Solve for x
    x = 4,647,012,561/41,186
  6. Step 6: Final answer
    x = 112,829.91

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.