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Finding the Third Proportional to 68.91 and 97.59

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Solution

The third proportional to 68.91 and 97.59 is: 138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.91 : 97.59 = 97.59 : x
  2. Step 2: Convert to fraction form
    68.91/97.59 = 97.59/x
  3. Step 3: Cross multiply
    68.91x = 97.59 × 97.59
  4. Step 4: Simplify right side
    68.91x = 9,524.54
  5. Step 5: Solve for x
    x = 9,524.54/68.91
  6. Step 6: Final answer
    x = 138.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.