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Finding the Third Proportional to 73,605.50 and 116,744

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Solution

The third proportional to 73,605.50 and 116,744 is: 185,164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,605.50 : 116,744 = 116,744 : x
  2. Step 2: Convert to fraction form
    73,605.50/116,744 = 116,744/x
  3. Step 3: Cross multiply
    73,605.50x = 116,744 × 116,744
  4. Step 4: Simplify right side
    73,605.50x = 13,629,161,536
  5. Step 5: Solve for x
    x = 13,629,161,536/73,605.50
  6. Step 6: Final answer
    x = 185,164.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.