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Finding the Third Proportional to 68.25 and 105.88

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Solution

The third proportional to 68.25 and 105.88 is: 164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.25 : 105.88 = 105.88 : x
  2. Step 2: Convert to fraction form
    68.25/105.88 = 105.88/x
  3. Step 3: Cross multiply
    68.25x = 105.88 × 105.88
  4. Step 4: Simplify right side
    68.25x = 11,209.52
  5. Step 5: Solve for x
    x = 11,209.52/68.25
  6. Step 6: Final answer
    x = 164.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.