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Finding the Third Proportional to 55,679 and 119,975

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Solution

The third proportional to 55,679 and 119,975 is: 258,517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,679 : 119,975 = 119,975 : x
  2. Step 2: Convert to fraction form
    55,679/119,975 = 119,975/x
  3. Step 3: Cross multiply
    55,679x = 119,975 × 119,975
  4. Step 4: Simplify right side
    55,679x = 14,394,000,625
  5. Step 5: Solve for x
    x = 14,394,000,625/55,679
  6. Step 6: Final answer
    x = 258,517.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.