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Finding the Third Proportional to 106,982 and 225,902

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Solution

The third proportional to 106,982 and 225,902 is: 477,012.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,982 : 225,902 = 225,902 : x
  2. Step 2: Convert to fraction form
    106,982/225,902 = 225,902/x
  3. Step 3: Cross multiply
    106,982x = 225,902 × 225,902
  4. Step 4: Simplify right side
    106,982x = 51,031,713,604
  5. Step 5: Solve for x
    x = 51,031,713,604/106,982
  6. Step 6: Final answer
    x = 477,012.15

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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.