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Finding the Third Proportional to 72,625.78 and 156,723.19

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Solution

The third proportional to 72,625.78 and 156,723.19 is: 338,201.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,625.78 : 156,723.19 = 156,723.19 : x
  2. Step 2: Convert to fraction form
    72,625.78/156,723.19 = 156,723.19/x
  3. Step 3: Cross multiply
    72,625.78x = 156,723.19 × 156,723.19
  4. Step 4: Simplify right side
    72,625.78x = 24,562,157,500.16
  5. Step 5: Solve for x
    x = 24,562,157,500.16/72,625.78
  6. Step 6: Final answer
    x = 338,201.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.