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Finding the Third Proportional to 50.06 and 105.05

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Solution

The third proportional to 50.06 and 105.05 is: 220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.06 : 105.05 = 105.05 : x
  2. Step 2: Convert to fraction form
    50.06/105.05 = 105.05/x
  3. Step 3: Cross multiply
    50.06x = 105.05 × 105.05
  4. Step 4: Simplify right side
    50.06x = 11,034.85
  5. Step 5: Solve for x
    x = 11,034.85/50.06
  6. Step 6: Final answer
    x = 220.42

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.