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Finding the Third Proportional to 57.94 and 125.38

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Solution

The third proportional to 57.94 and 125.38 is: 271.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.94 : 125.38 = 125.38 : x
  2. Step 2: Convert to fraction form
    57.94/125.38 = 125.38/x
  3. Step 3: Cross multiply
    57.94x = 125.38 × 125.38
  4. Step 4: Simplify right side
    57.94x = 15,718.89
  5. Step 5: Solve for x
    x = 15,718.89/57.94
  6. Step 6: Final answer
    x = 271.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.