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Finding the Third Proportional to 73,822 and 104,027

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Solution

The third proportional to 73,822 and 104,027 is: 146,590.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,822 : 104,027 = 104,027 : x
  2. Step 2: Convert to fraction form
    73,822/104,027 = 104,027/x
  3. Step 3: Cross multiply
    73,822x = 104,027 × 104,027
  4. Step 4: Simplify right side
    73,822x = 10,821,616,729
  5. Step 5: Solve for x
    x = 10,821,616,729/73,822
  6. Step 6: Final answer
    x = 146,590.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.