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Finding the Third Proportional to 49,194 and 73,802

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Solution

The third proportional to 49,194 and 73,802 is: 110,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,194 : 73,802 = 73,802 : x
  2. Step 2: Convert to fraction form
    49,194/73,802 = 73,802/x
  3. Step 3: Cross multiply
    49,194x = 73,802 × 73,802
  4. Step 4: Simplify right side
    49,194x = 5,446,735,204
  5. Step 5: Solve for x
    x = 5,446,735,204/49,194
  6. Step 6: Final answer
    x = 110,719.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.