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Finding the Third Proportional to 50,496 and 106,068

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Solution

The third proportional to 50,496 and 106,068 is: 222,798.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,496 : 106,068 = 106,068 : x
  2. Step 2: Convert to fraction form
    50,496/106,068 = 106,068/x
  3. Step 3: Cross multiply
    50,496x = 106,068 × 106,068
  4. Step 4: Simplify right side
    50,496x = 11,250,420,624
  5. Step 5: Solve for x
    x = 11,250,420,624/50,496
  6. Step 6: Final answer
    x = 222,798.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.