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Finding the Third Proportional to 102 and 149

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Solution

The third proportional to 102 and 149 is: 217.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 149 = 149 : x
  2. Step 2: Convert to fraction form
    102/149 = 149/x
  3. Step 3: Cross multiply
    102x = 149 × 149
  4. Step 4: Simplify right side
    102x = 22,201
  5. Step 5: Solve for x
    x = 22,201/102
  6. Step 6: Final answer
    x = 217.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.