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Finding the Third Proportional to 81,853.50 and 171,963

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Solution

The third proportional to 81,853.50 and 171,963 is: 361,270.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,853.50 : 171,963 = 171,963 : x
  2. Step 2: Convert to fraction form
    81,853.50/171,963 = 171,963/x
  3. Step 3: Cross multiply
    81,853.50x = 171,963 × 171,963
  4. Step 4: Simplify right side
    81,853.50x = 29,571,273,369
  5. Step 5: Solve for x
    x = 29,571,273,369/81,853.50
  6. Step 6: Final answer
    x = 361,270.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.