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Finding the Third Proportional to 138 and 142

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Solution

The third proportional to 138 and 142 is: 146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138 : 142 = 142 : x
  2. Step 2: Convert to fraction form
    138/142 = 142/x
  3. Step 3: Cross multiply
    138x = 142 × 142
  4. Step 4: Simplify right side
    138x = 20,164
  5. Step 5: Solve for x
    x = 20,164/138
  6. Step 6: Final answer
    x = 146.12

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.