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Finding the Third Proportional to 54,212.75 and 130,442.75

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Solution

The third proportional to 54,212.75 and 130,442.75 is: 313,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,212.75 : 130,442.75 = 130,442.75 : x
  2. Step 2: Convert to fraction form
    54,212.75/130,442.75 = 130,442.75/x
  3. Step 3: Cross multiply
    54,212.75x = 130,442.75 × 130,442.75
  4. Step 4: Simplify right side
    54,212.75x = 17,015,311,027.56
  5. Step 5: Solve for x
    x = 17,015,311,027.56/54,212.75
  6. Step 6: Final answer
    x = 313,861.80

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.