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Finding the Third Proportional to 121,093 and 188,997

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Solution

The third proportional to 121,093 and 188,997 is: 294,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,093 : 188,997 = 188,997 : x
  2. Step 2: Convert to fraction form
    121,093/188,997 = 188,997/x
  3. Step 3: Cross multiply
    121,093x = 188,997 × 188,997
  4. Step 4: Simplify right side
    121,093x = 35,719,866,009
  5. Step 5: Solve for x
    x = 35,719,866,009/121,093
  6. Step 6: Final answer
    x = 294,978.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.