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Finding the Third Proportional to 106,842 and 225,753

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Solution

The third proportional to 106,842 and 225,753 is: 477,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,842 : 225,753 = 225,753 : x
  2. Step 2: Convert to fraction form
    106,842/225,753 = 225,753/x
  3. Step 3: Cross multiply
    106,842x = 225,753 × 225,753
  4. Step 4: Simplify right side
    106,842x = 50,964,417,009
  5. Step 5: Solve for x
    x = 50,964,417,009/106,842
  6. Step 6: Final answer
    x = 477,007.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.