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Finding the Third Proportional to 71,894.25 and 156,336.75

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Solution

The third proportional to 71,894.25 and 156,336.75 is: 339,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,894.25 : 156,336.75 = 156,336.75 : x
  2. Step 2: Convert to fraction form
    71,894.25/156,336.75 = 156,336.75/x
  3. Step 3: Cross multiply
    71,894.25x = 156,336.75 × 156,336.75
  4. Step 4: Simplify right side
    71,894.25x = 24,441,179,400.56
  5. Step 5: Solve for x
    x = 24,441,179,400.56/71,894.25
  6. Step 6: Final answer
    x = 339,960.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.