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Finding the Third Proportional to 119.18 and 181.93

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Solution

The third proportional to 119.18 and 181.93 is: 277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.18 : 181.93 = 181.93 : x
  2. Step 2: Convert to fraction form
    119.18/181.93 = 181.93/x
  3. Step 3: Cross multiply
    119.18x = 181.93 × 181.93
  4. Step 4: Simplify right side
    119.18x = 33,099.83
  5. Step 5: Solve for x
    x = 33,099.83/119.18
  6. Step 6: Final answer
    x = 277.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.