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Finding the Third Proportional to 50,116 and 105,092

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Solution

The third proportional to 50,116 and 105,092 is: 220,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,116 : 105,092 = 105,092 : x
  2. Step 2: Convert to fraction form
    50,116/105,092 = 105,092/x
  3. Step 3: Cross multiply
    50,116x = 105,092 × 105,092
  4. Step 4: Simplify right side
    50,116x = 11,044,328,464
  5. Step 5: Solve for x
    x = 11,044,328,464/50,116
  6. Step 6: Final answer
    x = 220,375.30

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.