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Finding the Third Proportional to 136,206 and 225,102

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Solution

The third proportional to 136,206 and 225,102 is: 372,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,206 : 225,102 = 225,102 : x
  2. Step 2: Convert to fraction form
    136,206/225,102 = 225,102/x
  3. Step 3: Cross multiply
    136,206x = 225,102 × 225,102
  4. Step 4: Simplify right side
    136,206x = 50,670,910,404
  5. Step 5: Solve for x
    x = 50,670,910,404/136,206
  6. Step 6: Final answer
    x = 372,016.73

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.