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Finding the Third Proportional to 135,964 and 191,126

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Solution

The third proportional to 135,964 and 191,126 is: 268,667.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,964 : 191,126 = 191,126 : x
  2. Step 2: Convert to fraction form
    135,964/191,126 = 191,126/x
  3. Step 3: Cross multiply
    135,964x = 191,126 × 191,126
  4. Step 4: Simplify right side
    135,964x = 36,529,147,876
  5. Step 5: Solve for x
    x = 36,529,147,876/135,964
  6. Step 6: Final answer
    x = 268,667.79

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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.