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Finding the Third Proportional to 133,084 and 205,134

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Solution

The third proportional to 133,084 and 205,134 is: 316,190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,084 : 205,134 = 205,134 : x
  2. Step 2: Convert to fraction form
    133,084/205,134 = 205,134/x
  3. Step 3: Cross multiply
    133,084x = 205,134 × 205,134
  4. Step 4: Simplify right side
    133,084x = 42,079,957,956
  5. Step 5: Solve for x
    x = 42,079,957,956/133,084
  6. Step 6: Final answer
    x = 316,190.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.