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Finding the Third Proportional to 121,092 and 188,996

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Solution

The third proportional to 121,092 and 188,996 is: 294,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,092 : 188,996 = 188,996 : x
  2. Step 2: Convert to fraction form
    121,092/188,996 = 188,996/x
  3. Step 3: Cross multiply
    121,092x = 188,996 × 188,996
  4. Step 4: Simplify right side
    121,092x = 35,719,488,016
  5. Step 5: Solve for x
    x = 35,719,488,016/121,092
  6. Step 6: Final answer
    x = 294,978.10

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