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Finding the Third Proportional to 50,020 and 109,976

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Solution

The third proportional to 50,020 and 109,976 is: 241,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,020 : 109,976 = 109,976 : x
  2. Step 2: Convert to fraction form
    50,020/109,976 = 109,976/x
  3. Step 3: Cross multiply
    50,020x = 109,976 × 109,976
  4. Step 4: Simplify right side
    50,020x = 12,094,720,576
  5. Step 5: Solve for x
    x = 12,094,720,576/50,020
  6. Step 6: Final answer
    x = 241,797.69

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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.