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Finding the Third Proportional to 107,004 and 227,832

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Solution

The third proportional to 107,004 and 227,832 is: 485,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,004 : 227,832 = 227,832 : x
  2. Step 2: Convert to fraction form
    107,004/227,832 = 227,832/x
  3. Step 3: Cross multiply
    107,004x = 227,832 × 227,832
  4. Step 4: Simplify right side
    107,004x = 51,907,420,224
  5. Step 5: Solve for x
    x = 51,907,420,224/107,004
  6. Step 6: Final answer
    x = 485,097.94

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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.