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Finding the Third Proportional to 57.84 and 127.03

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Solution

The third proportional to 57.84 and 127.03 is: 278.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.84 : 127.03 = 127.03 : x
  2. Step 2: Convert to fraction form
    57.84/127.03 = 127.03/x
  3. Step 3: Cross multiply
    57.84x = 127.03 × 127.03
  4. Step 4: Simplify right side
    57.84x = 16,136.94
  5. Step 5: Solve for x
    x = 16,136.94/57.84
  6. Step 6: Final answer
    x = 278.97

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Why These Related Problems?

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