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Finding the Third Proportional to 66,197 and 156,134

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Solution

The third proportional to 66,197 and 156,134 is: 368,261.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,197 : 156,134 = 156,134 : x
  2. Step 2: Convert to fraction form
    66,197/156,134 = 156,134/x
  3. Step 3: Cross multiply
    66,197x = 156,134 × 156,134
  4. Step 4: Simplify right side
    66,197x = 24,377,825,956
  5. Step 5: Solve for x
    x = 24,377,825,956/66,197
  6. Step 6: Final answer
    x = 368,261.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.