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Finding the Third Proportional to 65,612 and 104,451

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Solution

The third proportional to 65,612 and 104,451 is: 166,280.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,612 : 104,451 = 104,451 : x
  2. Step 2: Convert to fraction form
    65,612/104,451 = 104,451/x
  3. Step 3: Cross multiply
    65,612x = 104,451 × 104,451
  4. Step 4: Simplify right side
    65,612x = 10,910,011,401
  5. Step 5: Solve for x
    x = 10,910,011,401/65,612
  6. Step 6: Final answer
    x = 166,280.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.