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Finding the Third Proportional to 52.73 and 114.96

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Solution

The third proportional to 52.73 and 114.96 is: 250.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.73 : 114.96 = 114.96 : x
  2. Step 2: Convert to fraction form
    52.73/114.96 = 114.96/x
  3. Step 3: Cross multiply
    52.73x = 114.96 × 114.96
  4. Step 4: Simplify right side
    52.73x = 13,216.02
  5. Step 5: Solve for x
    x = 13,216.02/52.73
  6. Step 6: Final answer
    x = 250.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.