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Finding the Third Proportional to 127,638 and 226,009

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Solution

The third proportional to 127,638 and 226,009 is: 400,194.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,638 : 226,009 = 226,009 : x
  2. Step 2: Convert to fraction form
    127,638/226,009 = 226,009/x
  3. Step 3: Cross multiply
    127,638x = 226,009 × 226,009
  4. Step 4: Simplify right side
    127,638x = 51,080,068,081
  5. Step 5: Solve for x
    x = 51,080,068,081/127,638
  6. Step 6: Final answer
    x = 400,194.83

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.