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Finding the Third Proportional to 66,157 and 156,147

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Solution

The third proportional to 66,157 and 156,147 is: 368,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,157 : 156,147 = 156,147 : x
  2. Step 2: Convert to fraction form
    66,157/156,147 = 156,147/x
  3. Step 3: Cross multiply
    66,157x = 156,147 × 156,147
  4. Step 4: Simplify right side
    66,157x = 24,381,885,609
  5. Step 5: Solve for x
    x = 24,381,885,609/66,157
  6. Step 6: Final answer
    x = 368,545.82

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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.