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Finding the Third Proportional to 50,238.56 and 69,205.22

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Solution

The third proportional to 50,238.56 and 69,205.22 is: 95,332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,238.56 : 69,205.22 = 69,205.22 : x
  2. Step 2: Convert to fraction form
    50,238.56/69,205.22 = 69,205.22/x
  3. Step 3: Cross multiply
    50,238.56x = 69,205.22 × 69,205.22
  4. Step 4: Simplify right side
    50,238.56x = 4,789,362,302.24
  5. Step 5: Solve for x
    x = 4,789,362,302.24/50,238.56
  6. Step 6: Final answer
    x = 95,332.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.