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Finding the Third Proportional to 54.94 and 119.63

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Solution

The third proportional to 54.94 and 119.63 is: 260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.94 : 119.63 = 119.63 : x
  2. Step 2: Convert to fraction form
    54.94/119.63 = 119.63/x
  3. Step 3: Cross multiply
    54.94x = 119.63 × 119.63
  4. Step 4: Simplify right side
    54.94x = 14,310.14
  5. Step 5: Solve for x
    x = 14,310.14/54.94
  6. Step 6: Final answer
    x = 260.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.