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Finding the Third Proportional to 110,212 and 225,094

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Solution

The third proportional to 110,212 and 225,094 is: 459,725.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,212 : 225,094 = 225,094 : x
  2. Step 2: Convert to fraction form
    110,212/225,094 = 225,094/x
  3. Step 3: Cross multiply
    110,212x = 225,094 × 225,094
  4. Step 4: Simplify right side
    110,212x = 50,667,308,836
  5. Step 5: Solve for x
    x = 50,667,308,836/110,212
  6. Step 6: Final answer
    x = 459,725.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.