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Finding the Third Proportional to 103,857 and 225,939

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Solution

The third proportional to 103,857 and 225,939 is: 491,526.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,857 : 225,939 = 225,939 : x
  2. Step 2: Convert to fraction form
    103,857/225,939 = 225,939/x
  3. Step 3: Cross multiply
    103,857x = 225,939 × 225,939
  4. Step 4: Simplify right side
    103,857x = 51,048,431,721
  5. Step 5: Solve for x
    x = 51,048,431,721/103,857
  6. Step 6: Final answer
    x = 491,526.15

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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.