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Finding the Third Proportional to 136.97 and 201.42

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Solution

The third proportional to 136.97 and 201.42 is: 296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.97 : 201.42 = 201.42 : x
  2. Step 2: Convert to fraction form
    136.97/201.42 = 201.42/x
  3. Step 3: Cross multiply
    136.97x = 201.42 × 201.42
  4. Step 4: Simplify right side
    136.97x = 40,570.77
  5. Step 5: Solve for x
    x = 40,570.77/136.97
  6. Step 6: Final answer
    x = 296.20

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.