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Finding the Third Proportional to 116 and 162.19

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Solution

The third proportional to 116 and 162.19 is: 226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116 : 162.19 = 162.19 : x
  2. Step 2: Convert to fraction form
    116/162.19 = 162.19/x
  3. Step 3: Cross multiply
    116x = 162.19 × 162.19
  4. Step 4: Simplify right side
    116x = 26,304.79
  5. Step 5: Solve for x
    x = 26,304.79/116
  6. Step 6: Final answer
    x = 226.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.