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Finding the Third Proportional to 50,973.75 and 108,137.25

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Solution

The third proportional to 50,973.75 and 108,137.25 is: 229,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,973.75 : 108,137.25 = 108,137.25 : x
  2. Step 2: Convert to fraction form
    50,973.75/108,137.25 = 108,137.25/x
  3. Step 3: Cross multiply
    50,973.75x = 108,137.25 × 108,137.25
  4. Step 4: Simplify right side
    50,973.75x = 11,693,664,837.56
  5. Step 5: Solve for x
    x = 11,693,664,837.56/50,973.75
  6. Step 6: Final answer
    x = 229,405.62

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.