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Finding the Third Proportional to 105.89 and 244.05

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Solution

The third proportional to 105.89 and 244.05 is: 562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.89 : 244.05 = 244.05 : x
  2. Step 2: Convert to fraction form
    105.89/244.05 = 244.05/x
  3. Step 3: Cross multiply
    105.89x = 244.05 × 244.05
  4. Step 4: Simplify right side
    105.89x = 59,562.69
  5. Step 5: Solve for x
    x = 59,562.69/105.89
  6. Step 6: Final answer
    x = 562.49

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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.