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Finding the Third Proportional to 52,515.25 and 115,234.75

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Solution

The third proportional to 52,515.25 and 115,234.75 is: 252,860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,515.25 : 115,234.75 = 115,234.75 : x
  2. Step 2: Convert to fraction form
    52,515.25/115,234.75 = 115,234.75/x
  3. Step 3: Cross multiply
    52,515.25x = 115,234.75 × 115,234.75
  4. Step 4: Simplify right side
    52,515.25x = 13,279,047,607.56
  5. Step 5: Solve for x
    x = 13,279,047,607.56/52,515.25
  6. Step 6: Final answer
    x = 252,860.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.