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Finding the Third Proportional to 108,021 and 227,004

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Solution

The third proportional to 108,021 and 227,004 is: 477,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,021 : 227,004 = 227,004 : x
  2. Step 2: Convert to fraction form
    108,021/227,004 = 227,004/x
  3. Step 3: Cross multiply
    108,021x = 227,004 × 227,004
  4. Step 4: Simplify right side
    108,021x = 51,530,816,016
  5. Step 5: Solve for x
    x = 51,530,816,016/108,021
  6. Step 6: Final answer
    x = 477,044.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.