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Finding the Third Proportional to 50,550 and 106,716

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Solution

The third proportional to 50,550 and 106,716 is: 225,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,550 : 106,716 = 106,716 : x
  2. Step 2: Convert to fraction form
    50,550/106,716 = 106,716/x
  3. Step 3: Cross multiply
    50,550x = 106,716 × 106,716
  4. Step 4: Simplify right side
    50,550x = 11,388,304,656
  5. Step 5: Solve for x
    x = 11,388,304,656/50,550
  6. Step 6: Final answer
    x = 225,287.93

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.