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Finding the Third Proportional to 50,296.75 and 75,958

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Solution

The third proportional to 50,296.75 and 75,958 is: 114,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,296.75 : 75,958 = 75,958 : x
  2. Step 2: Convert to fraction form
    50,296.75/75,958 = 75,958/x
  3. Step 3: Cross multiply
    50,296.75x = 75,958 × 75,958
  4. Step 4: Simplify right side
    50,296.75x = 5,769,617,764
  5. Step 5: Solve for x
    x = 5,769,617,764/50,296.75
  6. Step 6: Final answer
    x = 114,711.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.