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Finding the Third Proportional to 71,293 and 156,194

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Solution

The third proportional to 71,293 and 156,194 is: 342,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,293 : 156,194 = 156,194 : x
  2. Step 2: Convert to fraction form
    71,293/156,194 = 156,194/x
  3. Step 3: Cross multiply
    71,293x = 156,194 × 156,194
  4. Step 4: Simplify right side
    71,293x = 24,396,565,636
  5. Step 5: Solve for x
    x = 24,396,565,636/71,293
  6. Step 6: Final answer
    x = 342,201.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.