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Finding the Third Proportional to 42,118 and 90,986

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Solution

The third proportional to 42,118 and 90,986 is: 196,553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,118 : 90,986 = 90,986 : x
  2. Step 2: Convert to fraction form
    42,118/90,986 = 90,986/x
  3. Step 3: Cross multiply
    42,118x = 90,986 × 90,986
  4. Step 4: Simplify right side
    42,118x = 8,278,452,196
  5. Step 5: Solve for x
    x = 8,278,452,196/42,118
  6. Step 6: Final answer
    x = 196,553.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.