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Finding the Third Proportional to 57.07 and 112.24

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Solution

The third proportional to 57.07 and 112.24 is: 220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.07 : 112.24 = 112.24 : x
  2. Step 2: Convert to fraction form
    57.07/112.24 = 112.24/x
  3. Step 3: Cross multiply
    57.07x = 112.24 × 112.24
  4. Step 4: Simplify right side
    57.07x = 12,598.25
  5. Step 5: Solve for x
    x = 12,598.25/57.07
  6. Step 6: Final answer
    x = 220.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.