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Finding the Third Proportional to 114.56 and 159.09

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Solution

The third proportional to 114.56 and 159.09 is: 220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.56 : 159.09 = 159.09 : x
  2. Step 2: Convert to fraction form
    114.56/159.09 = 159.09/x
  3. Step 3: Cross multiply
    114.56x = 159.09 × 159.09
  4. Step 4: Simplify right side
    114.56x = 25,310.82
  5. Step 5: Solve for x
    x = 25,310.82/114.56
  6. Step 6: Final answer
    x = 220.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.