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Finding the Third Proportional to 50,038.75 and 107,727.75

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Solution

The third proportional to 50,038.75 and 107,727.75 is: 231,925.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,038.75 : 107,727.75 = 107,727.75 : x
  2. Step 2: Convert to fraction form
    50,038.75/107,727.75 = 107,727.75/x
  3. Step 3: Cross multiply
    50,038.75x = 107,727.75 × 107,727.75
  4. Step 4: Simplify right side
    50,038.75x = 11,605,268,120.06
  5. Step 5: Solve for x
    x = 11,605,268,120.06/50,038.75
  6. Step 6: Final answer
    x = 231,925.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.