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Finding the Third Proportional to 42,367.50 and 91,302

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Solution

The third proportional to 42,367.50 and 91,302 is: 196,755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,367.50 : 91,302 = 91,302 : x
  2. Step 2: Convert to fraction form
    42,367.50/91,302 = 91,302/x
  3. Step 3: Cross multiply
    42,367.50x = 91,302 × 91,302
  4. Step 4: Simplify right side
    42,367.50x = 8,336,055,204
  5. Step 5: Solve for x
    x = 8,336,055,204/42,367.50
  6. Step 6: Final answer
    x = 196,755.89

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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.