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Finding the Third Proportional to 75,192 and 160,744

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Solution

The third proportional to 75,192 and 160,744 is: 343,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,192 : 160,744 = 160,744 : x
  2. Step 2: Convert to fraction form
    75,192/160,744 = 160,744/x
  3. Step 3: Cross multiply
    75,192x = 160,744 × 160,744
  4. Step 4: Simplify right side
    75,192x = 25,838,633,536
  5. Step 5: Solve for x
    x = 25,838,633,536/75,192
  6. Step 6: Final answer
    x = 343,635.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.