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Finding the Third Proportional to 67.92 and 137.11

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Solution

The third proportional to 67.92 and 137.11 is: 276.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.92 : 137.11 = 137.11 : x
  2. Step 2: Convert to fraction form
    67.92/137.11 = 137.11/x
  3. Step 3: Cross multiply
    67.92x = 137.11 × 137.11
  4. Step 4: Simplify right side
    67.92x = 18,798.98
  5. Step 5: Solve for x
    x = 18,798.98/67.92
  6. Step 6: Final answer
    x = 276.77

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.