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Finding the Third Proportional to 67,682 and 99,561

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Solution

The third proportional to 67,682 and 99,561 is: 146,455.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,682 : 99,561 = 99,561 : x
  2. Step 2: Convert to fraction form
    67,682/99,561 = 99,561/x
  3. Step 3: Cross multiply
    67,682x = 99,561 × 99,561
  4. Step 4: Simplify right side
    67,682x = 9,912,392,721
  5. Step 5: Solve for x
    x = 9,912,392,721/67,682
  6. Step 6: Final answer
    x = 146,455.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.