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Finding the Third Proportional to 116.56 and 171.44

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Solution

The third proportional to 116.56 and 171.44 is: 252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.56 : 171.44 = 171.44 : x
  2. Step 2: Convert to fraction form
    116.56/171.44 = 171.44/x
  3. Step 3: Cross multiply
    116.56x = 171.44 × 171.44
  4. Step 4: Simplify right side
    116.56x = 29,390.82
  5. Step 5: Solve for x
    x = 29,390.82/116.56
  6. Step 6: Final answer
    x = 252.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.