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Finding the Third Proportional to 57.16 and 85.44

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Solution

The third proportional to 57.16 and 85.44 is: 127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.16 : 85.44 = 85.44 : x
  2. Step 2: Convert to fraction form
    57.16/85.44 = 85.44/x
  3. Step 3: Cross multiply
    57.16x = 85.44 × 85.44
  4. Step 4: Simplify right side
    57.16x = 7,299.57
  5. Step 5: Solve for x
    x = 7,299.57/57.16
  6. Step 6: Final answer
    x = 127.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.