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Finding the Third Proportional to 73,736 and 110,604

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Solution

The third proportional to 73,736 and 110,604 is: 165,906

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,736 : 110,604 = 110,604 : x
  2. Step 2: Convert to fraction form
    73,736/110,604 = 110,604/x
  3. Step 3: Cross multiply
    73,736x = 110,604 × 110,604
  4. Step 4: Simplify right side
    73,736x = 12,233,244,816
  5. Step 5: Solve for x
    x = 12,233,244,816/73,736
  6. Step 6: Final answer
    x = 165,906

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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.