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Finding the Third Proportional to 50,236.88 and 69,202.69

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Solution

The third proportional to 50,236.88 and 69,202.69 is: 95,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,236.88 : 69,202.69 = 69,202.69 : x
  2. Step 2: Convert to fraction form
    50,236.88/69,202.69 = 69,202.69/x
  3. Step 3: Cross multiply
    50,236.88x = 69,202.69 × 69,202.69
  4. Step 4: Simplify right side
    50,236.88x = 4,789,011,957.22
  5. Step 5: Solve for x
    x = 4,789,011,957.22/50,236.88
  6. Step 6: Final answer
    x = 95,328.62

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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.