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Finding the Third Proportional to 51,103 and 109,975

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Solution

The third proportional to 51,103 and 109,975 is: 236,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,103 : 109,975 = 109,975 : x
  2. Step 2: Convert to fraction form
    51,103/109,975 = 109,975/x
  3. Step 3: Cross multiply
    51,103x = 109,975 × 109,975
  4. Step 4: Simplify right side
    51,103x = 12,094,500,625
  5. Step 5: Solve for x
    x = 12,094,500,625/51,103
  6. Step 6: Final answer
    x = 236,669.09

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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.