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Finding the Third Proportional to 52,494.75 and 107,399.25

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Solution

The third proportional to 52,494.75 and 107,399.25 is: 219,728.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,494.75 : 107,399.25 = 107,399.25 : x
  2. Step 2: Convert to fraction form
    52,494.75/107,399.25 = 107,399.25/x
  3. Step 3: Cross multiply
    52,494.75x = 107,399.25 × 107,399.25
  4. Step 4: Simplify right side
    52,494.75x = 11,534,598,900.56
  5. Step 5: Solve for x
    x = 11,534,598,900.56/52,494.75
  6. Step 6: Final answer
    x = 219,728.62

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.