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Finding the Third Proportional to 106 and 158

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Solution

The third proportional to 106 and 158 is: 235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 158 = 158 : x
  2. Step 2: Convert to fraction form
    106/158 = 158/x
  3. Step 3: Cross multiply
    106x = 158 × 158
  4. Step 4: Simplify right side
    106x = 24,964
  5. Step 5: Solve for x
    x = 24,964/106
  6. Step 6: Final answer
    x = 235.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.