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Finding the Third Proportional to 63,793.50 and 137,337

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Solution

The third proportional to 63,793.50 and 137,337 is: 295,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,793.50 : 137,337 = 137,337 : x
  2. Step 2: Convert to fraction form
    63,793.50/137,337 = 137,337/x
  3. Step 3: Cross multiply
    63,793.50x = 137,337 × 137,337
  4. Step 4: Simplify right side
    63,793.50x = 18,861,451,569
  5. Step 5: Solve for x
    x = 18,861,451,569/63,793.50
  6. Step 6: Final answer
    x = 295,664.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.