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Finding the Third Proportional to 51,016 and 108,092

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Solution

The third proportional to 51,016 and 108,092 is: 229,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,016 : 108,092 = 108,092 : x
  2. Step 2: Convert to fraction form
    51,016/108,092 = 108,092/x
  3. Step 3: Cross multiply
    51,016x = 108,092 × 108,092
  4. Step 4: Simplify right side
    51,016x = 11,683,880,464
  5. Step 5: Solve for x
    x = 11,683,880,464/51,016
  6. Step 6: Final answer
    x = 229,023.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.