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Finding the Third Proportional to 133.50 and 162.66

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Solution

The third proportional to 133.50 and 162.66 is: 198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.50 : 162.66 = 162.66 : x
  2. Step 2: Convert to fraction form
    133.50/162.66 = 162.66/x
  3. Step 3: Cross multiply
    133.50x = 162.66 × 162.66
  4. Step 4: Simplify right side
    133.50x = 26,457.06
  5. Step 5: Solve for x
    x = 26,457.06/133.50
  6. Step 6: Final answer
    x = 198.18

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.