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Finding the Third Proportional to 83,443.50 and 173,793

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Solution

The third proportional to 83,443.50 and 173,793 is: 361,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,443.50 : 173,793 = 173,793 : x
  2. Step 2: Convert to fraction form
    83,443.50/173,793 = 173,793/x
  3. Step 3: Cross multiply
    83,443.50x = 173,793 × 173,793
  4. Step 4: Simplify right side
    83,443.50x = 30,204,006,849
  5. Step 5: Solve for x
    x = 30,204,006,849/83,443.50
  6. Step 6: Final answer
    x = 361,969.56

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.