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Finding the Third Proportional to 81,229.50 and 129,801

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Solution

The third proportional to 81,229.50 and 129,801 is: 207,416.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,229.50 : 129,801 = 129,801 : x
  2. Step 2: Convert to fraction form
    81,229.50/129,801 = 129,801/x
  3. Step 3: Cross multiply
    81,229.50x = 129,801 × 129,801
  4. Step 4: Simplify right side
    81,229.50x = 16,848,299,601
  5. Step 5: Solve for x
    x = 16,848,299,601/81,229.50
  6. Step 6: Final answer
    x = 207,416.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.