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Finding the Third Proportional to 68.34 and 95.87

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Solution

The third proportional to 68.34 and 95.87 is: 134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.34 : 95.87 = 95.87 : x
  2. Step 2: Convert to fraction form
    68.34/95.87 = 95.87/x
  3. Step 3: Cross multiply
    68.34x = 95.87 × 95.87
  4. Step 4: Simplify right side
    68.34x = 9,191.27
  5. Step 5: Solve for x
    x = 9,191.27/68.34
  6. Step 6: Final answer
    x = 134.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.