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Finding the Third Proportional to 54,872.44 and 119,788.88

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Solution

The third proportional to 54,872.44 and 119,788.88 is: 261,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,872.44 : 119,788.88 = 119,788.88 : x
  2. Step 2: Convert to fraction form
    54,872.44/119,788.88 = 119,788.88/x
  3. Step 3: Cross multiply
    54,872.44x = 119,788.88 × 119,788.88
  4. Step 4: Simplify right side
    54,872.44x = 14,349,374,573.77
  5. Step 5: Solve for x
    x = 14,349,374,573.77/54,872.44
  6. Step 6: Final answer
    x = 261,504.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.