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Finding the Third Proportional to 41,184 and 68,166

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Solution

The third proportional to 41,184 and 68,166 is: 112,825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,184 : 68,166 = 68,166 : x
  2. Step 2: Convert to fraction form
    41,184/68,166 = 68,166/x
  3. Step 3: Cross multiply
    41,184x = 68,166 × 68,166
  4. Step 4: Simplify right side
    41,184x = 4,646,603,556
  5. Step 5: Solve for x
    x = 4,646,603,556/41,184
  6. Step 6: Final answer
    x = 112,825.46

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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.