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Finding the Third Proportional to 34,193 and 77,166

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Solution

The third proportional to 34,193 and 77,166 is: 174,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,193 : 77,166 = 77,166 : x
  2. Step 2: Convert to fraction form
    34,193/77,166 = 77,166/x
  3. Step 3: Cross multiply
    34,193x = 77,166 × 77,166
  4. Step 4: Simplify right side
    34,193x = 5,954,591,556
  5. Step 5: Solve for x
    x = 5,954,591,556/34,193
  6. Step 6: Final answer
    x = 174,146.51

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.