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Finding the Third Proportional to 138 and 149.50

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Solution

The third proportional to 138 and 149.50 is: 161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138 : 149.50 = 149.50 : x
  2. Step 2: Convert to fraction form
    138/149.50 = 149.50/x
  3. Step 3: Cross multiply
    138x = 149.50 × 149.50
  4. Step 4: Simplify right side
    138x = 22,350.25
  5. Step 5: Solve for x
    x = 22,350.25/138
  6. Step 6: Final answer
    x = 161.96

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.