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Finding the Third Proportional to 127,640 and 226,013

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Solution

The third proportional to 127,640 and 226,013 is: 400,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,640 : 226,013 = 226,013 : x
  2. Step 2: Convert to fraction form
    127,640/226,013 = 226,013/x
  3. Step 3: Cross multiply
    127,640x = 226,013 × 226,013
  4. Step 4: Simplify right side
    127,640x = 51,081,876,169
  5. Step 5: Solve for x
    x = 51,081,876,169/127,640
  6. Step 6: Final answer
    x = 400,202.73

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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.