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Finding the Third Proportional to 81,614.25 and 173,022.75

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Solution

The third proportional to 81,614.25 and 173,022.75 is: 366,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,614.25 : 173,022.75 = 173,022.75 : x
  2. Step 2: Convert to fraction form
    81,614.25/173,022.75 = 173,022.75/x
  3. Step 3: Cross multiply
    81,614.25x = 173,022.75 × 173,022.75
  4. Step 4: Simplify right side
    81,614.25x = 29,936,872,017.56
  5. Step 5: Solve for x
    x = 29,936,872,017.56/81,614.25
  6. Step 6: Final answer
    x = 366,809.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.