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Finding the Third Proportional to 54.19 and 78.94

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Solution

The third proportional to 54.19 and 78.94 is: 114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.19 : 78.94 = 78.94 : x
  2. Step 2: Convert to fraction form
    54.19/78.94 = 78.94/x
  3. Step 3: Cross multiply
    54.19x = 78.94 × 78.94
  4. Step 4: Simplify right side
    54.19x = 6,231.13
  5. Step 5: Solve for x
    x = 6,231.13/54.19
  6. Step 6: Final answer
    x = 114.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.