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Finding the Third Proportional to 54,907 and 119,883

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Solution

The third proportional to 54,907 and 119,883 is: 261,750.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,907 : 119,883 = 119,883 : x
  2. Step 2: Convert to fraction form
    54,907/119,883 = 119,883/x
  3. Step 3: Cross multiply
    54,907x = 119,883 × 119,883
  4. Step 4: Simplify right side
    54,907x = 14,371,933,689
  5. Step 5: Solve for x
    x = 14,371,933,689/54,907
  6. Step 6: Final answer
    x = 261,750.48

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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.