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Finding the Third Proportional to 120 and 159.75

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Solution

The third proportional to 120 and 159.75 is: 212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 159.75 = 159.75 : x
  2. Step 2: Convert to fraction form
    120/159.75 = 159.75/x
  3. Step 3: Cross multiply
    120x = 159.75 × 159.75
  4. Step 4: Simplify right side
    120x = 25,520.06
  5. Step 5: Solve for x
    x = 25,520.06/120
  6. Step 6: Final answer
    x = 212.67

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Why These Related Problems?

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