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Finding the Third Proportional to 81,450 and 168,084

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Solution

The third proportional to 81,450 and 168,084 is: 346,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,450 : 168,084 = 168,084 : x
  2. Step 2: Convert to fraction form
    81,450/168,084 = 168,084/x
  3. Step 3: Cross multiply
    81,450x = 168,084 × 168,084
  4. Step 4: Simplify right side
    81,450x = 28,252,231,056
  5. Step 5: Solve for x
    x = 28,252,231,056/81,450
  6. Step 6: Final answer
    x = 346,865.94

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.