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Finding the Third Proportional to 109,901 and 225,625

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Solution

The third proportional to 109,901 and 225,625 is: 463,204.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,901 : 225,625 = 225,625 : x
  2. Step 2: Convert to fraction form
    109,901/225,625 = 225,625/x
  3. Step 3: Cross multiply
    109,901x = 225,625 × 225,625
  4. Step 4: Simplify right side
    109,901x = 50,906,640,625
  5. Step 5: Solve for x
    x = 50,906,640,625/109,901
  6. Step 6: Final answer
    x = 463,204.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.