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Finding the Third Proportional to 57.94 and 127.41

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Solution

The third proportional to 57.94 and 127.41 is: 280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.94 : 127.41 = 127.41 : x
  2. Step 2: Convert to fraction form
    57.94/127.41 = 127.41/x
  3. Step 3: Cross multiply
    57.94x = 127.41 × 127.41
  4. Step 4: Simplify right side
    57.94x = 16,232.35
  5. Step 5: Solve for x
    x = 16,232.35/57.94
  6. Step 6: Final answer
    x = 280.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.