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Finding the Third Proportional to 73,834.03 and 110,842.17

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Solution

The third proportional to 73,834.03 and 110,842.17 is: 166,400.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,834.03 : 110,842.17 = 110,842.17 : x
  2. Step 2: Convert to fraction form
    73,834.03/110,842.17 = 110,842.17/x
  3. Step 3: Cross multiply
    73,834.03x = 110,842.17 × 110,842.17
  4. Step 4: Simplify right side
    73,834.03x = 12,285,987,065.97
  5. Step 5: Solve for x
    x = 12,285,987,065.97/73,834.03
  6. Step 6: Final answer
    x = 166,400.06

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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.