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Finding the Third Proportional to 135,991 and 191,166

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Solution

The third proportional to 135,991 and 191,166 is: 268,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,991 : 191,166 = 191,166 : x
  2. Step 2: Convert to fraction form
    135,991/191,166 = 191,166/x
  3. Step 3: Cross multiply
    135,991x = 191,166 × 191,166
  4. Step 4: Simplify right side
    135,991x = 36,544,439,556
  5. Step 5: Solve for x
    x = 36,544,439,556/135,991
  6. Step 6: Final answer
    x = 268,726.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.