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Finding the Third Proportional to 67.13 and 128.81

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Solution

The third proportional to 67.13 and 128.81 is: 247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.13 : 128.81 = 128.81 : x
  2. Step 2: Convert to fraction form
    67.13/128.81 = 128.81/x
  3. Step 3: Cross multiply
    67.13x = 128.81 × 128.81
  4. Step 4: Simplify right side
    67.13x = 16,592.66
  5. Step 5: Solve for x
    x = 16,592.66/67.13
  6. Step 6: Final answer
    x = 247.19

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.