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Finding the Third Proportional to 42,257.79 and 91,076.59

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Solution

The third proportional to 42,257.79 and 91,076.59 is: 196,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,257.79 : 91,076.59 = 91,076.59 : x
  2. Step 2: Convert to fraction form
    42,257.79/91,076.59 = 91,076.59/x
  3. Step 3: Cross multiply
    42,257.79x = 91,076.59 × 91,076.59
  4. Step 4: Simplify right side
    42,257.79x = 8,294,945,217.57
  5. Step 5: Solve for x
    x = 8,294,945,217.57/42,257.79
  6. Step 6: Final answer
    x = 196,293.85

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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.