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Finding the Third Proportional to 50,770 and 111,662

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Solution

The third proportional to 50,770 and 111,662 is: 245,586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,770 : 111,662 = 111,662 : x
  2. Step 2: Convert to fraction form
    50,770/111,662 = 111,662/x
  3. Step 3: Cross multiply
    50,770x = 111,662 × 111,662
  4. Step 4: Simplify right side
    50,770x = 12,468,402,244
  5. Step 5: Solve for x
    x = 12,468,402,244/50,770
  6. Step 6: Final answer
    x = 245,586.02

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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.