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Finding the Third Proportional to 44.50 and 105.25

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Solution

The third proportional to 44.50 and 105.25 is: 248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.50 : 105.25 = 105.25 : x
  2. Step 2: Convert to fraction form
    44.50/105.25 = 105.25/x
  3. Step 3: Cross multiply
    44.50x = 105.25 × 105.25
  4. Step 4: Simplify right side
    44.50x = 11,077.56
  5. Step 5: Solve for x
    x = 11,077.56/44.50
  6. Step 6: Final answer
    x = 248.93

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.