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Finding the Third Proportional to 73,896.75 and 110,693

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Solution

The third proportional to 73,896.75 and 110,693 is: 165,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,896.75 : 110,693 = 110,693 : x
  2. Step 2: Convert to fraction form
    73,896.75/110,693 = 110,693/x
  3. Step 3: Cross multiply
    73,896.75x = 110,693 × 110,693
  4. Step 4: Simplify right side
    73,896.75x = 12,252,940,249
  5. Step 5: Solve for x
    x = 12,252,940,249/73,896.75
  6. Step 6: Final answer
    x = 165,811.63

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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.