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Finding the Third Proportional to 50,927 and 111,886

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Solution

The third proportional to 50,927 and 111,886 is: 245,812.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,927 : 111,886 = 111,886 : x
  2. Step 2: Convert to fraction form
    50,927/111,886 = 111,886/x
  3. Step 3: Cross multiply
    50,927x = 111,886 × 111,886
  4. Step 4: Simplify right side
    50,927x = 12,518,476,996
  5. Step 5: Solve for x
    x = 12,518,476,996/50,927
  6. Step 6: Final answer
    x = 245,812.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.