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Finding the Third Proportional to 42,723.31 and 92,020.56

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Solution

The third proportional to 42,723.31 and 92,020.56 is: 198,200.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,723.31 : 92,020.56 = 92,020.56 : x
  2. Step 2: Convert to fraction form
    42,723.31/92,020.56 = 92,020.56/x
  3. Step 3: Cross multiply
    42,723.31x = 92,020.56 × 92,020.56
  4. Step 4: Simplify right side
    42,723.31x = 8,467,783,922.82
  5. Step 5: Solve for x
    x = 8,467,783,922.82/42,723.31
  6. Step 6: Final answer
    x = 198,200.55

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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.