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Finding the Third Proportional to 73,892 and 163,336

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Solution

The third proportional to 73,892 and 163,336 is: 361,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,892 : 163,336 = 163,336 : x
  2. Step 2: Convert to fraction form
    73,892/163,336 = 163,336/x
  3. Step 3: Cross multiply
    73,892x = 163,336 × 163,336
  4. Step 4: Simplify right side
    73,892x = 26,678,648,896
  5. Step 5: Solve for x
    x = 26,678,648,896/73,892
  6. Step 6: Final answer
    x = 361,049.22

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.