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Finding the Third Proportional to 46,302 and 96,234

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Solution

The third proportional to 46,302 and 96,234 is: 200,012.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,302 : 96,234 = 96,234 : x
  2. Step 2: Convert to fraction form
    46,302/96,234 = 96,234/x
  3. Step 3: Cross multiply
    46,302x = 96,234 × 96,234
  4. Step 4: Simplify right side
    46,302x = 9,260,982,756
  5. Step 5: Solve for x
    x = 9,260,982,756/46,302
  6. Step 6: Final answer
    x = 200,012.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.