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Finding the Third Proportional to 73,481.50 and 109,937

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Solution

The third proportional to 73,481.50 and 109,937 is: 164,478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,481.50 : 109,937 = 109,937 : x
  2. Step 2: Convert to fraction form
    73,481.50/109,937 = 109,937/x
  3. Step 3: Cross multiply
    73,481.50x = 109,937 × 109,937
  4. Step 4: Simplify right side
    73,481.50x = 12,086,143,969
  5. Step 5: Solve for x
    x = 12,086,143,969/73,481.50
  6. Step 6: Final answer
    x = 164,478.73

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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.