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Finding the Third Proportional to 73,494 and 116,805

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Solution

The third proportional to 73,494 and 116,805 is: 185,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,494 : 116,805 = 116,805 : x
  2. Step 2: Convert to fraction form
    73,494/116,805 = 116,805/x
  3. Step 3: Cross multiply
    73,494x = 116,805 × 116,805
  4. Step 4: Simplify right side
    73,494x = 13,643,408,025
  5. Step 5: Solve for x
    x = 13,643,408,025/73,494
  6. Step 6: Final answer
    x = 185,639.75

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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.