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Finding the Third Proportional to 44,481 and 82,401

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Solution

The third proportional to 44,481 and 82,401 is: 152,647.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,481 : 82,401 = 82,401 : x
  2. Step 2: Convert to fraction form
    44,481/82,401 = 82,401/x
  3. Step 3: Cross multiply
    44,481x = 82,401 × 82,401
  4. Step 4: Simplify right side
    44,481x = 6,789,924,801
  5. Step 5: Solve for x
    x = 6,789,924,801/44,481
  6. Step 6: Final answer
    x = 152,647.76

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.