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Finding the Third Proportional to 70,824 and 106,401

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Solution

The third proportional to 70,824 and 106,401 is: 159,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,824 : 106,401 = 106,401 : x
  2. Step 2: Convert to fraction form
    70,824/106,401 = 106,401/x
  3. Step 3: Cross multiply
    70,824x = 106,401 × 106,401
  4. Step 4: Simplify right side
    70,824x = 11,321,172,801
  5. Step 5: Solve for x
    x = 11,321,172,801/70,824
  6. Step 6: Final answer
    x = 159,849.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.