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Finding the Third Proportional to 46,296 and 95,874

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Solution

The third proportional to 46,296 and 95,874 is: 198,544.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,296 : 95,874 = 95,874 : x
  2. Step 2: Convert to fraction form
    46,296/95,874 = 95,874/x
  3. Step 3: Cross multiply
    46,296x = 95,874 × 95,874
  4. Step 4: Simplify right side
    46,296x = 9,191,823,876
  5. Step 5: Solve for x
    x = 9,191,823,876/46,296
  6. Step 6: Final answer
    x = 198,544.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.