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Finding the Third Proportional to 50,898 and 117,930

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Solution

The third proportional to 50,898 and 117,930 is: 273,242.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,898 : 117,930 = 117,930 : x
  2. Step 2: Convert to fraction form
    50,898/117,930 = 117,930/x
  3. Step 3: Cross multiply
    50,898x = 117,930 × 117,930
  4. Step 4: Simplify right side
    50,898x = 13,907,484,900
  5. Step 5: Solve for x
    x = 13,907,484,900/50,898
  6. Step 6: Final answer
    x = 273,242.27

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.