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Finding the Third Proportional to 73,183.50 and 149,553

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Solution

The third proportional to 73,183.50 and 149,553 is: 305,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,183.50 : 149,553 = 149,553 : x
  2. Step 2: Convert to fraction form
    73,183.50/149,553 = 149,553/x
  3. Step 3: Cross multiply
    73,183.50x = 149,553 × 149,553
  4. Step 4: Simplify right side
    73,183.50x = 22,366,099,809
  5. Step 5: Solve for x
    x = 22,366,099,809/73,183.50
  6. Step 6: Final answer
    x = 305,616.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.