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Finding the Third Proportional to 68.28 and 95.94

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Solution

The third proportional to 68.28 and 95.94 is: 134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.28 : 95.94 = 95.94 : x
  2. Step 2: Convert to fraction form
    68.28/95.94 = 95.94/x
  3. Step 3: Cross multiply
    68.28x = 95.94 × 95.94
  4. Step 4: Simplify right side
    68.28x = 9,204.00
  5. Step 5: Solve for x
    x = 9,204.00/68.28
  6. Step 6: Final answer
    x = 134.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.