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Finding the Third Proportional to 121,094 and 188,999

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Solution

The third proportional to 121,094 and 188,999 is: 294,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,094 : 188,999 = 188,999 : x
  2. Step 2: Convert to fraction form
    121,094/188,999 = 188,999/x
  3. Step 3: Cross multiply
    121,094x = 188,999 × 188,999
  4. Step 4: Simplify right side
    121,094x = 35,720,622,001
  5. Step 5: Solve for x
    x = 35,720,622,001/121,094
  6. Step 6: Final answer
    x = 294,982.59

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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.