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Finding the Third Proportional to 50,240.25 and 105,651

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Solution

The third proportional to 50,240.25 and 105,651 is: 222,175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,240.25 : 105,651 = 105,651 : x
  2. Step 2: Convert to fraction form
    50,240.25/105,651 = 105,651/x
  3. Step 3: Cross multiply
    50,240.25x = 105,651 × 105,651
  4. Step 4: Simplify right side
    50,240.25x = 11,162,133,801
  5. Step 5: Solve for x
    x = 11,162,133,801/50,240.25
  6. Step 6: Final answer
    x = 222,175.12

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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.