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Finding the Third Proportional to 72,906.75 and 104,256.75

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Solution

The third proportional to 72,906.75 and 104,256.75 is: 149,087.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,906.75 : 104,256.75 = 104,256.75 : x
  2. Step 2: Convert to fraction form
    72,906.75/104,256.75 = 104,256.75/x
  3. Step 3: Cross multiply
    72,906.75x = 104,256.75 × 104,256.75
  4. Step 4: Simplify right side
    72,906.75x = 10,869,469,920.56
  5. Step 5: Solve for x
    x = 10,869,469,920.56/72,906.75
  6. Step 6: Final answer
    x = 149,087.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.