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Finding the Third Proportional to 44,023 and 91,694

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Solution

The third proportional to 44,023 and 91,694 is: 190,986.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,023 : 91,694 = 91,694 : x
  2. Step 2: Convert to fraction form
    44,023/91,694 = 91,694/x
  3. Step 3: Cross multiply
    44,023x = 91,694 × 91,694
  4. Step 4: Simplify right side
    44,023x = 8,407,789,636
  5. Step 5: Solve for x
    x = 8,407,789,636/44,023
  6. Step 6: Final answer
    x = 190,986.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.