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Finding the Third Proportional to 50,008.50 and 111,087

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Solution

The third proportional to 50,008.50 and 111,087 is: 246,764.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,008.50 : 111,087 = 111,087 : x
  2. Step 2: Convert to fraction form
    50,008.50/111,087 = 111,087/x
  3. Step 3: Cross multiply
    50,008.50x = 111,087 × 111,087
  4. Step 4: Simplify right side
    50,008.50x = 12,340,321,569
  5. Step 5: Solve for x
    x = 12,340,321,569/50,008.50
  6. Step 6: Final answer
    x = 246,764.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.