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Finding the Third Proportional to 86.59 and 129.67

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Solution

The third proportional to 86.59 and 129.67 is: 194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.59 : 129.67 = 129.67 : x
  2. Step 2: Convert to fraction form
    86.59/129.67 = 129.67/x
  3. Step 3: Cross multiply
    86.59x = 129.67 × 129.67
  4. Step 4: Simplify right side
    86.59x = 16,815.30
  5. Step 5: Solve for x
    x = 16,815.30/86.59
  6. Step 6: Final answer
    x = 194.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.