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Finding the Third Proportional to 67,530 and 156,341

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Solution

The third proportional to 67,530 and 156,341 is: 361,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,530 : 156,341 = 156,341 : x
  2. Step 2: Convert to fraction form
    67,530/156,341 = 156,341/x
  3. Step 3: Cross multiply
    67,530x = 156,341 × 156,341
  4. Step 4: Simplify right side
    67,530x = 24,442,508,281
  5. Step 5: Solve for x
    x = 24,442,508,281/67,530
  6. Step 6: Final answer
    x = 361,950.37

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.