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Finding the Third Proportional to 50,197.50 and 108,171

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Solution

The third proportional to 50,197.50 and 108,171 is: 233,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,197.50 : 108,171 = 108,171 : x
  2. Step 2: Convert to fraction form
    50,197.50/108,171 = 108,171/x
  3. Step 3: Cross multiply
    50,197.50x = 108,171 × 108,171
  4. Step 4: Simplify right side
    50,197.50x = 11,700,965,241
  5. Step 5: Solve for x
    x = 11,700,965,241/50,197.50
  6. Step 6: Final answer
    x = 233,098.57

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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.