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Finding the Third Proportional to 106 and 133.50

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Solution

The third proportional to 106 and 133.50 is: 168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 133.50 = 133.50 : x
  2. Step 2: Convert to fraction form
    106/133.50 = 133.50/x
  3. Step 3: Cross multiply
    106x = 133.50 × 133.50
  4. Step 4: Simplify right side
    106x = 17,822.25
  5. Step 5: Solve for x
    x = 17,822.25/106
  6. Step 6: Final answer
    x = 168.13

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.