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Finding the Third Proportional to 111,192 and 163,847

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Solution

The third proportional to 111,192 and 163,847 is: 241,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,192 : 163,847 = 163,847 : x
  2. Step 2: Convert to fraction form
    111,192/163,847 = 163,847/x
  3. Step 3: Cross multiply
    111,192x = 163,847 × 163,847
  4. Step 4: Simplify right side
    111,192x = 26,845,839,409
  5. Step 5: Solve for x
    x = 26,845,839,409/111,192
  6. Step 6: Final answer
    x = 241,436.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.