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Finding the Third Proportional to 52,401 and 107,229

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Solution

The third proportional to 52,401 and 107,229 is: 219,424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,401 : 107,229 = 107,229 : x
  2. Step 2: Convert to fraction form
    52,401/107,229 = 107,229/x
  3. Step 3: Cross multiply
    52,401x = 107,229 × 107,229
  4. Step 4: Simplify right side
    52,401x = 11,498,058,441
  5. Step 5: Solve for x
    x = 11,498,058,441/52,401
  6. Step 6: Final answer
    x = 219,424.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.