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Finding the Third Proportional to 125,204 and 193,881

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Solution

The third proportional to 125,204 and 193,881 is: 300,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,204 : 193,881 = 193,881 : x
  2. Step 2: Convert to fraction form
    125,204/193,881 = 193,881/x
  3. Step 3: Cross multiply
    125,204x = 193,881 × 193,881
  4. Step 4: Simplify right side
    125,204x = 37,589,842,161
  5. Step 5: Solve for x
    x = 37,589,842,161/125,204
  6. Step 6: Final answer
    x = 300,228.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.