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Finding the Third Proportional to 49,969.50 and 74,193

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Solution

The third proportional to 49,969.50 and 74,193 is: 110,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,969.50 : 74,193 = 74,193 : x
  2. Step 2: Convert to fraction form
    49,969.50/74,193 = 74,193/x
  3. Step 3: Cross multiply
    49,969.50x = 74,193 × 74,193
  4. Step 4: Simplify right side
    49,969.50x = 5,504,601,249
  5. Step 5: Solve for x
    x = 5,504,601,249/49,969.50
  6. Step 6: Final answer
    x = 110,159.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.