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Finding the Third Proportional to 50.94 and 109.19

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Solution

The third proportional to 50.94 and 109.19 is: 234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.94 : 109.19 = 109.19 : x
  2. Step 2: Convert to fraction form
    50.94/109.19 = 109.19/x
  3. Step 3: Cross multiply
    50.94x = 109.19 × 109.19
  4. Step 4: Simplify right side
    50.94x = 11,921.91
  5. Step 5: Solve for x
    x = 11,921.91/50.94
  6. Step 6: Final answer
    x = 234.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.