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Finding the Third Proportional to 54,925 and 119,918

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Solution

The third proportional to 54,925 and 119,918 is: 261,817.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,925 : 119,918 = 119,918 : x
  2. Step 2: Convert to fraction form
    54,925/119,918 = 119,918/x
  3. Step 3: Cross multiply
    54,925x = 119,918 × 119,918
  4. Step 4: Simplify right side
    54,925x = 14,380,326,724
  5. Step 5: Solve for x
    x = 14,380,326,724/54,925
  6. Step 6: Final answer
    x = 261,817.51

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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.