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Finding the Third Proportional to 133,096 and 206,171

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Solution

The third proportional to 133,096 and 206,171 is: 319,367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,096 : 206,171 = 206,171 : x
  2. Step 2: Convert to fraction form
    133,096/206,171 = 206,171/x
  3. Step 3: Cross multiply
    133,096x = 206,171 × 206,171
  4. Step 4: Simplify right side
    133,096x = 42,506,481,241
  5. Step 5: Solve for x
    x = 42,506,481,241/133,096
  6. Step 6: Final answer
    x = 319,367.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.