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Finding the Third Proportional to 105.50 and 120.75

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Solution

The third proportional to 105.50 and 120.75 is: 138.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.50 : 120.75 = 120.75 : x
  2. Step 2: Convert to fraction form
    105.50/120.75 = 120.75/x
  3. Step 3: Cross multiply
    105.50x = 120.75 × 120.75
  4. Step 4: Simplify right side
    105.50x = 14,580.56
  5. Step 5: Solve for x
    x = 14,580.56/105.50
  6. Step 6: Final answer
    x = 138.20

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.