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Finding the Third Proportional to 50,816.25 and 79,134.75

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Solution

The third proportional to 50,816.25 and 79,134.75 is: 123,234.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,816.25 : 79,134.75 = 79,134.75 : x
  2. Step 2: Convert to fraction form
    50,816.25/79,134.75 = 79,134.75/x
  3. Step 3: Cross multiply
    50,816.25x = 79,134.75 × 79,134.75
  4. Step 4: Simplify right side
    50,816.25x = 6,262,308,657.56
  5. Step 5: Solve for x
    x = 6,262,308,657.56/50,816.25
  6. Step 6: Final answer
    x = 123,234.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.