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Finding the Third Proportional to 42,298 and 91,092

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Solution

The third proportional to 42,298 and 91,092 is: 196,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,298 : 91,092 = 91,092 : x
  2. Step 2: Convert to fraction form
    42,298/91,092 = 91,092/x
  3. Step 3: Cross multiply
    42,298x = 91,092 × 91,092
  4. Step 4: Simplify right side
    42,298x = 8,297,752,464
  5. Step 5: Solve for x
    x = 8,297,752,464/42,298
  6. Step 6: Final answer
    x = 196,173.64

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.