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Finding the Third Proportional to 50,997 and 111,066

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Solution

The third proportional to 50,997 and 111,066 is: 241,889.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,997 : 111,066 = 111,066 : x
  2. Step 2: Convert to fraction form
    50,997/111,066 = 111,066/x
  3. Step 3: Cross multiply
    50,997x = 111,066 × 111,066
  4. Step 4: Simplify right side
    50,997x = 12,335,656,356
  5. Step 5: Solve for x
    x = 12,335,656,356/50,997
  6. Step 6: Final answer
    x = 241,889.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.