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Finding the Third Proportional to 135.94 and 191.06

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Solution

The third proportional to 135.94 and 191.06 is: 268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.94 : 191.06 = 191.06 : x
  2. Step 2: Convert to fraction form
    135.94/191.06 = 191.06/x
  3. Step 3: Cross multiply
    135.94x = 191.06 × 191.06
  4. Step 4: Simplify right side
    135.94x = 36,504.88
  5. Step 5: Solve for x
    x = 36,504.88/135.94
  6. Step 6: Final answer
    x = 268.54

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