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Finding the Third Proportional to 98.25 and 120

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Solution

The third proportional to 98.25 and 120 is: 146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.25 : 120 = 120 : x
  2. Step 2: Convert to fraction form
    98.25/120 = 120/x
  3. Step 3: Cross multiply
    98.25x = 120 × 120
  4. Step 4: Simplify right side
    98.25x = 14,400
  5. Step 5: Solve for x
    x = 14,400/98.25
  6. Step 6: Final answer
    x = 146.56

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.