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Finding the Third Proportional to 60.97 and 127.44

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Solution

The third proportional to 60.97 and 127.44 is: 266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.97 : 127.44 = 127.44 : x
  2. Step 2: Convert to fraction form
    60.97/127.44 = 127.44/x
  3. Step 3: Cross multiply
    60.97x = 127.44 × 127.44
  4. Step 4: Simplify right side
    60.97x = 16,240.32
  5. Step 5: Solve for x
    x = 16,240.32/60.97
  6. Step 6: Final answer
    x = 266.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.