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Finding the Third Proportional to 107,001 and 227,826

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Solution

The third proportional to 107,001 and 227,826 is: 485,085.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,001 : 227,826 = 227,826 : x
  2. Step 2: Convert to fraction form
    107,001/227,826 = 227,826/x
  3. Step 3: Cross multiply
    107,001x = 227,826 × 227,826
  4. Step 4: Simplify right side
    107,001x = 51,904,686,276
  5. Step 5: Solve for x
    x = 51,904,686,276/107,001
  6. Step 6: Final answer
    x = 485,085.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.