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Finding the Third Proportional to 66,163 and 156,059

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Solution

The third proportional to 66,163 and 156,059 is: 368,097.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,163 : 156,059 = 156,059 : x
  2. Step 2: Convert to fraction form
    66,163/156,059 = 156,059/x
  3. Step 3: Cross multiply
    66,163x = 156,059 × 156,059
  4. Step 4: Simplify right side
    66,163x = 24,354,411,481
  5. Step 5: Solve for x
    x = 24,354,411,481/66,163
  6. Step 6: Final answer
    x = 368,097.15

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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.