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Finding the Third Proportional to 57.94 and 112.78

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Solution

The third proportional to 57.94 and 112.78 is: 219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.94 : 112.78 = 112.78 : x
  2. Step 2: Convert to fraction form
    57.94/112.78 = 112.78/x
  3. Step 3: Cross multiply
    57.94x = 112.78 × 112.78
  4. Step 4: Simplify right side
    57.94x = 12,719.61
  5. Step 5: Solve for x
    x = 12,719.61/57.94
  6. Step 6: Final answer
    x = 219.54

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.