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Finding the Third Proportional to 135.75 and 190.78

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Solution

The third proportional to 135.75 and 190.78 is: 268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.75 : 190.78 = 190.78 : x
  2. Step 2: Convert to fraction form
    135.75/190.78 = 190.78/x
  3. Step 3: Cross multiply
    135.75x = 190.78 × 190.78
  4. Step 4: Simplify right side
    135.75x = 36,397.49
  5. Step 5: Solve for x
    x = 36,397.49/135.75
  6. Step 6: Final answer
    x = 268.12

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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.