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Finding the Third Proportional to 44.72 and 102.73

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Solution

The third proportional to 44.72 and 102.73 is: 235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.72 : 102.73 = 102.73 : x
  2. Step 2: Convert to fraction form
    44.72/102.73 = 102.73/x
  3. Step 3: Cross multiply
    44.72x = 102.73 × 102.73
  4. Step 4: Simplify right side
    44.72x = 10,552.75
  5. Step 5: Solve for x
    x = 10,552.75/44.72
  6. Step 6: Final answer
    x = 235.98

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.