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Finding the Third Proportional to 73,892 and 110,244

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Solution

The third proportional to 73,892 and 110,244 is: 164,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,892 : 110,244 = 110,244 : x
  2. Step 2: Convert to fraction form
    73,892/110,244 = 110,244/x
  3. Step 3: Cross multiply
    73,892x = 110,244 × 110,244
  4. Step 4: Simplify right side
    73,892x = 12,153,739,536
  5. Step 5: Solve for x
    x = 12,153,739,536/73,892
  6. Step 6: Final answer
    x = 164,479.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.