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Finding the Third Proportional to 71,916 and 156,380.25

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Solution

The third proportional to 71,916 and 156,380.25 is: 340,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,916 : 156,380.25 = 156,380.25 : x
  2. Step 2: Convert to fraction form
    71,916/156,380.25 = 156,380.25/x
  3. Step 3: Cross multiply
    71,916x = 156,380.25 × 156,380.25
  4. Step 4: Simplify right side
    71,916x = 24,454,782,590.06
  5. Step 5: Solve for x
    x = 24,454,782,590.06/71,916
  6. Step 6: Final answer
    x = 340,046.48

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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.