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Finding the Third Proportional to 135.75 and 159.28

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Solution

The third proportional to 135.75 and 159.28 is: 186.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.75 : 159.28 = 159.28 : x
  2. Step 2: Convert to fraction form
    135.75/159.28 = 159.28/x
  3. Step 3: Cross multiply
    135.75x = 159.28 × 159.28
  4. Step 4: Simplify right side
    135.75x = 25,370.52
  5. Step 5: Solve for x
    x = 25,370.52/135.75
  6. Step 6: Final answer
    x = 186.89

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These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.