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Finding the Third Proportional to 51,108 and 109,992

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Solution

The third proportional to 51,108 and 109,992 is: 236,719.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,108 : 109,992 = 109,992 : x
  2. Step 2: Convert to fraction form
    51,108/109,992 = 109,992/x
  3. Step 3: Cross multiply
    51,108x = 109,992 × 109,992
  4. Step 4: Simplify right side
    51,108x = 12,098,240,064
  5. Step 5: Solve for x
    x = 12,098,240,064/51,108
  6. Step 6: Final answer
    x = 236,719.11

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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.