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Finding the Third Proportional to 54.47 and 119.71

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Solution

The third proportional to 54.47 and 119.71 is: 263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.47 : 119.71 = 119.71 : x
  2. Step 2: Convert to fraction form
    54.47/119.71 = 119.71/x
  3. Step 3: Cross multiply
    54.47x = 119.71 × 119.71
  4. Step 4: Simplify right side
    54.47x = 14,329.77
  5. Step 5: Solve for x
    x = 14,329.77/54.47
  6. Step 6: Final answer
    x = 263.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.