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Finding the Third Proportional to 72,884.25 and 156,944.25

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Solution

The third proportional to 72,884.25 and 156,944.25 is: 337,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,884.25 : 156,944.25 = 156,944.25 : x
  2. Step 2: Convert to fraction form
    72,884.25/156,944.25 = 156,944.25/x
  3. Step 3: Cross multiply
    72,884.25x = 156,944.25 × 156,944.25
  4. Step 4: Simplify right side
    72,884.25x = 24,631,497,608.06
  5. Step 5: Solve for x
    x = 24,631,497,608.06/72,884.25
  6. Step 6: Final answer
    x = 337,953.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.