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Finding the Third Proportional to 117.75 and 159.38

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Solution

The third proportional to 117.75 and 159.38 is: 215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.75 : 159.38 = 159.38 : x
  2. Step 2: Convert to fraction form
    117.75/159.38 = 159.38/x
  3. Step 3: Cross multiply
    117.75x = 159.38 × 159.38
  4. Step 4: Simplify right side
    117.75x = 25,400.39
  5. Step 5: Solve for x
    x = 25,400.39/117.75
  6. Step 6: Final answer
    x = 215.71

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.