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Finding the Third Proportional to 68.06 and 103.88

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Solution

The third proportional to 68.06 and 103.88 is: 158.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.06 : 103.88 = 103.88 : x
  2. Step 2: Convert to fraction form
    68.06/103.88 = 103.88/x
  3. Step 3: Cross multiply
    68.06x = 103.88 × 103.88
  4. Step 4: Simplify right side
    68.06x = 10,790.02
  5. Step 5: Solve for x
    x = 10,790.02/68.06
  6. Step 6: Final answer
    x = 158.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.