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Finding the Third Proportional to 50,976 and 111,800.25

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Solution

The third proportional to 50,976 and 111,800.25 is: 245,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,976 : 111,800.25 = 111,800.25 : x
  2. Step 2: Convert to fraction form
    50,976/111,800.25 = 111,800.25/x
  3. Step 3: Cross multiply
    50,976x = 111,800.25 × 111,800.25
  4. Step 4: Simplify right side
    50,976x = 12,499,295,900.06
  5. Step 5: Solve for x
    x = 12,499,295,900.06/50,976
  6. Step 6: Final answer
    x = 245,199.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.