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Finding the Third Proportional to 119 and 137.25

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Solution

The third proportional to 119 and 137.25 is: 158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119 : 137.25 = 137.25 : x
  2. Step 2: Convert to fraction form
    119/137.25 = 137.25/x
  3. Step 3: Cross multiply
    119x = 137.25 × 137.25
  4. Step 4: Simplify right side
    119x = 18,837.56
  5. Step 5: Solve for x
    x = 18,837.56/119
  6. Step 6: Final answer
    x = 158.30

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.