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Finding the Third Proportional to 42,252.75 and 85,672.22

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Solution

The third proportional to 42,252.75 and 85,672.22 is: 173,710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,252.75 : 85,672.22 = 85,672.22 : x
  2. Step 2: Convert to fraction form
    42,252.75/85,672.22 = 85,672.22/x
  3. Step 3: Cross multiply
    42,252.75x = 85,672.22 × 85,672.22
  4. Step 4: Simplify right side
    42,252.75x = 7,339,729,065.55
  5. Step 5: Solve for x
    x = 7,339,729,065.55/42,252.75
  6. Step 6: Final answer
    x = 173,710.09

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.