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Finding the Third Proportional to 136.69 and 202.90

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Solution

The third proportional to 136.69 and 202.90 is: 301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.69 : 202.90 = 202.90 : x
  2. Step 2: Convert to fraction form
    136.69/202.90 = 202.90/x
  3. Step 3: Cross multiply
    136.69x = 202.90 × 202.90
  4. Step 4: Simplify right side
    136.69x = 41,166.59
  5. Step 5: Solve for x
    x = 41,166.59/136.69
  6. Step 6: Final answer
    x = 301.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.