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Finding the Third Proportional to 50,375 and 105,921

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Solution

The third proportional to 50,375 and 105,921 is: 222,714.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,375 : 105,921 = 105,921 : x
  2. Step 2: Convert to fraction form
    50,375/105,921 = 105,921/x
  3. Step 3: Cross multiply
    50,375x = 105,921 × 105,921
  4. Step 4: Simplify right side
    50,375x = 11,219,258,241
  5. Step 5: Solve for x
    x = 11,219,258,241/50,375
  6. Step 6: Final answer
    x = 222,714.80

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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.