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Finding the Third Proportional to 54,699.75 and 113,190.75

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Solution

The third proportional to 54,699.75 and 113,190.75 is: 234,226.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,699.75 : 113,190.75 = 113,190.75 : x
  2. Step 2: Convert to fraction form
    54,699.75/113,190.75 = 113,190.75/x
  3. Step 3: Cross multiply
    54,699.75x = 113,190.75 × 113,190.75
  4. Step 4: Simplify right side
    54,699.75x = 12,812,145,885.56
  5. Step 5: Solve for x
    x = 12,812,145,885.56/54,699.75
  6. Step 6: Final answer
    x = 234,226.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.