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Finding the Third Proportional to 79,947 and 115,500

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Solution

The third proportional to 79,947 and 115,500 is: 166,863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,947 : 115,500 = 115,500 : x
  2. Step 2: Convert to fraction form
    79,947/115,500 = 115,500/x
  3. Step 3: Cross multiply
    79,947x = 115,500 × 115,500
  4. Step 4: Simplify right side
    79,947x = 13,340,250,000
  5. Step 5: Solve for x
    x = 13,340,250,000/79,947
  6. Step 6: Final answer
    x = 166,863.67

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.