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Finding the Third Proportional to 45 and 120

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Solution

The third proportional to 45 and 120 is: 320

Step by Step Solution

  1. Step 1: Write the proportion equation
    45 : 120 = 120 : x
  2. Step 2: Convert to fraction form
    45/120 = 120/x
  3. Step 3: Cross multiply
    45x = 120 × 120
  4. Step 4: Simplify right side
    45x = 14,400
  5. Step 5: Solve for x
    x = 14,400/45
  6. Step 6: Final answer
    x = 320

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Why These Related Problems?

These problems maintain the same ratio (2.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.