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Finding the Third Proportional to 136.03 and 187.97

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Solution

The third proportional to 136.03 and 187.97 is: 259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.03 : 187.97 = 187.97 : x
  2. Step 2: Convert to fraction form
    136.03/187.97 = 187.97/x
  3. Step 3: Cross multiply
    136.03x = 187.97 × 187.97
  4. Step 4: Simplify right side
    136.03x = 35,332.25
  5. Step 5: Solve for x
    x = 35,332.25/136.03
  6. Step 6: Final answer
    x = 259.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.