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Finding the Third Proportional to 103,857 and 225,942

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Solution

The third proportional to 103,857 and 225,942 is: 491,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,857 : 225,942 = 225,942 : x
  2. Step 2: Convert to fraction form
    103,857/225,942 = 225,942/x
  3. Step 3: Cross multiply
    103,857x = 225,942 × 225,942
  4. Step 4: Simplify right side
    103,857x = 51,049,787,364
  5. Step 5: Solve for x
    x = 51,049,787,364/103,857
  6. Step 6: Final answer
    x = 491,539.21

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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.