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Finding the Third Proportional to 102.66 and 149.34

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Solution

The third proportional to 102.66 and 149.34 is: 217.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.66 : 149.34 = 149.34 : x
  2. Step 2: Convert to fraction form
    102.66/149.34 = 149.34/x
  3. Step 3: Cross multiply
    102.66x = 149.34 × 149.34
  4. Step 4: Simplify right side
    102.66x = 22,303.56
  5. Step 5: Solve for x
    x = 22,303.56/102.66
  6. Step 6: Final answer
    x = 217.26

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.