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Finding the Third Proportional to 99.50 and 120

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Solution

The third proportional to 99.50 and 120 is: 144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.50 : 120 = 120 : x
  2. Step 2: Convert to fraction form
    99.50/120 = 120/x
  3. Step 3: Cross multiply
    99.50x = 120 × 120
  4. Step 4: Simplify right side
    99.50x = 14,400
  5. Step 5: Solve for x
    x = 14,400/99.50
  6. Step 6: Final answer
    x = 144.72

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.