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Finding the Third Proportional to 72,292.25 and 156,650.75

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Solution

The third proportional to 72,292.25 and 156,650.75 is: 339,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,292.25 : 156,650.75 = 156,650.75 : x
  2. Step 2: Convert to fraction form
    72,292.25/156,650.75 = 156,650.75/x
  3. Step 3: Cross multiply
    72,292.25x = 156,650.75 × 156,650.75
  4. Step 4: Simplify right side
    72,292.25x = 24,539,457,475.56
  5. Step 5: Solve for x
    x = 24,539,457,475.56/72,292.25
  6. Step 6: Final answer
    x = 339,447.97

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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.