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Finding the Third Proportional to 129,147 and 193,717.50

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Solution

The third proportional to 129,147 and 193,717.50 is: 290,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,147 : 193,717.50 = 193,717.50 : x
  2. Step 2: Convert to fraction form
    129,147/193,717.50 = 193,717.50/x
  3. Step 3: Cross multiply
    129,147x = 193,717.50 × 193,717.50
  4. Step 4: Simplify right side
    129,147x = 37,526,469,806.25
  5. Step 5: Solve for x
    x = 37,526,469,806.25/129,147
  6. Step 6: Final answer
    x = 290,571.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.