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Finding the Third Proportional to 159.75 and 183.94

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Solution

The third proportional to 159.75 and 183.94 is: 211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.75 : 183.94 = 183.94 : x
  2. Step 2: Convert to fraction form
    159.75/183.94 = 183.94/x
  3. Step 3: Cross multiply
    159.75x = 183.94 × 183.94
  4. Step 4: Simplify right side
    159.75x = 33,833.00
  5. Step 5: Solve for x
    x = 33,833.00/159.75
  6. Step 6: Final answer
    x = 211.79

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.