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Finding the Third Proportional to 83,498.50 and 169,912

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Solution

The third proportional to 83,498.50 and 169,912 is: 345,755.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,498.50 : 169,912 = 169,912 : x
  2. Step 2: Convert to fraction form
    83,498.50/169,912 = 169,912/x
  3. Step 3: Cross multiply
    83,498.50x = 169,912 × 169,912
  4. Step 4: Simplify right side
    83,498.50x = 28,870,087,744
  5. Step 5: Solve for x
    x = 28,870,087,744/83,498.50
  6. Step 6: Final answer
    x = 345,755.77

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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.