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Finding the Third Proportional to 67,922 and 160,581

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Solution

The third proportional to 67,922 and 160,581 is: 379,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,922 : 160,581 = 160,581 : x
  2. Step 2: Convert to fraction form
    67,922/160,581 = 160,581/x
  3. Step 3: Cross multiply
    67,922x = 160,581 × 160,581
  4. Step 4: Simplify right side
    67,922x = 25,786,257,561
  5. Step 5: Solve for x
    x = 25,786,257,561/67,922
  6. Step 6: Final answer
    x = 379,645.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.