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Finding the Third Proportional to 103,869 and 225,966

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Solution

The third proportional to 103,869 and 225,966 is: 491,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,869 : 225,966 = 225,966 : x
  2. Step 2: Convert to fraction form
    103,869/225,966 = 225,966/x
  3. Step 3: Cross multiply
    103,869x = 225,966 × 225,966
  4. Step 4: Simplify right side
    103,869x = 51,060,633,156
  5. Step 5: Solve for x
    x = 51,060,633,156/103,869
  6. Step 6: Final answer
    x = 491,586.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.