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Finding the Third Proportional to 42.05 and 90.54

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Solution

The third proportional to 42.05 and 90.54 is: 194.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.05 : 90.54 = 90.54 : x
  2. Step 2: Convert to fraction form
    42.05/90.54 = 90.54/x
  3. Step 3: Cross multiply
    42.05x = 90.54 × 90.54
  4. Step 4: Simplify right side
    42.05x = 8,198.03
  5. Step 5: Solve for x
    x = 8,198.03/42.05
  6. Step 6: Final answer
    x = 194.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.