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Finding the Third Proportional to 85.88 and 134.81

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Solution

The third proportional to 85.88 and 134.81 is: 211.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.88 : 134.81 = 134.81 : x
  2. Step 2: Convert to fraction form
    85.88/134.81 = 134.81/x
  3. Step 3: Cross multiply
    85.88x = 134.81 × 134.81
  4. Step 4: Simplify right side
    85.88x = 18,174.41
  5. Step 5: Solve for x
    x = 18,174.41/85.88
  6. Step 6: Final answer
    x = 211.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.