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Finding the Third Proportional to 54,461.25 and 113,910.75

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Solution

The third proportional to 54,461.25 and 113,910.75 is: 238,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,461.25 : 113,910.75 = 113,910.75 : x
  2. Step 2: Convert to fraction form
    54,461.25/113,910.75 = 113,910.75/x
  3. Step 3: Cross multiply
    54,461.25x = 113,910.75 × 113,910.75
  4. Step 4: Simplify right side
    54,461.25x = 12,975,658,965.56
  5. Step 5: Solve for x
    x = 12,975,658,965.56/54,461.25
  6. Step 6: Final answer
    x = 238,254.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.