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Finding the Third Proportional to 80.60 and 123.32

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Solution

The third proportional to 80.60 and 123.32 is: 188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.60 : 123.32 = 123.32 : x
  2. Step 2: Convert to fraction form
    80.60/123.32 = 123.32/x
  3. Step 3: Cross multiply
    80.60x = 123.32 × 123.32
  4. Step 4: Simplify right side
    80.60x = 15,207.66
  5. Step 5: Solve for x
    x = 15,207.66/80.60
  6. Step 6: Final answer
    x = 188.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.