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Finding the Third Proportional to 50,970 and 111,984

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Solution

The third proportional to 50,970 and 111,984 is: 246,035.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,970 : 111,984 = 111,984 : x
  2. Step 2: Convert to fraction form
    50,970/111,984 = 111,984/x
  3. Step 3: Cross multiply
    50,970x = 111,984 × 111,984
  4. Step 4: Simplify right side
    50,970x = 12,540,416,256
  5. Step 5: Solve for x
    x = 12,540,416,256/50,970
  6. Step 6: Final answer
    x = 246,035.24

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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.