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Finding the Third Proportional to 116.03 and 154.67

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Solution

The third proportional to 116.03 and 154.67 is: 206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.03 : 154.67 = 154.67 : x
  2. Step 2: Convert to fraction form
    116.03/154.67 = 154.67/x
  3. Step 3: Cross multiply
    116.03x = 154.67 × 154.67
  4. Step 4: Simplify right side
    116.03x = 23,922.78
  5. Step 5: Solve for x
    x = 23,922.78/116.03
  6. Step 6: Final answer
    x = 206.17

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.