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Finding the Third Proportional to 50,854.75 and 106,356.75

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Solution

The third proportional to 50,854.75 and 106,356.75 is: 222,432.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,854.75 : 106,356.75 = 106,356.75 : x
  2. Step 2: Convert to fraction form
    50,854.75/106,356.75 = 106,356.75/x
  3. Step 3: Cross multiply
    50,854.75x = 106,356.75 × 106,356.75
  4. Step 4: Simplify right side
    50,854.75x = 11,311,758,270.56
  5. Step 5: Solve for x
    x = 11,311,758,270.56/50,854.75
  6. Step 6: Final answer
    x = 222,432.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.