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Finding the Third Proportional to 42,362.50 and 91,698

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Solution

The third proportional to 42,362.50 and 91,698 is: 198,489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,362.50 : 91,698 = 91,698 : x
  2. Step 2: Convert to fraction form
    42,362.50/91,698 = 91,698/x
  3. Step 3: Cross multiply
    42,362.50x = 91,698 × 91,698
  4. Step 4: Simplify right side
    42,362.50x = 8,408,523,204
  5. Step 5: Solve for x
    x = 8,408,523,204/42,362.50
  6. Step 6: Final answer
    x = 198,489.78

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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.