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Finding the Third Proportional to 81,650 and 192,005

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Solution

The third proportional to 81,650 and 192,005 is: 451,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,650 : 192,005 = 192,005 : x
  2. Step 2: Convert to fraction form
    81,650/192,005 = 192,005/x
  3. Step 3: Cross multiply
    81,650x = 192,005 × 192,005
  4. Step 4: Simplify right side
    81,650x = 36,865,920,025
  5. Step 5: Solve for x
    x = 36,865,920,025/81,650
  6. Step 6: Final answer
    x = 451,511.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.