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Finding the Third Proportional to 57 and 109.88

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Solution

The third proportional to 57 and 109.88 is: 211.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57 : 109.88 = 109.88 : x
  2. Step 2: Convert to fraction form
    57/109.88 = 109.88/x
  3. Step 3: Cross multiply
    57x = 109.88 × 109.88
  4. Step 4: Simplify right side
    57x = 12,072.52
  5. Step 5: Solve for x
    x = 12,072.52/57
  6. Step 6: Final answer
    x = 211.80

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.