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Finding the Third Proportional to 136.81 and 205.21

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Solution

The third proportional to 136.81 and 205.21 is: 307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.81 : 205.21 = 205.21 : x
  2. Step 2: Convert to fraction form
    136.81/205.21 = 205.21/x
  3. Step 3: Cross multiply
    136.81x = 205.21 × 205.21
  4. Step 4: Simplify right side
    136.81x = 42,110.83
  5. Step 5: Solve for x
    x = 42,110.83/136.81
  6. Step 6: Final answer
    x = 307.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.