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Finding the Third Proportional to 73,512.56 and 159,470.44

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Solution

The third proportional to 73,512.56 and 159,470.44 is: 345,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,512.56 : 159,470.44 = 159,470.44 : x
  2. Step 2: Convert to fraction form
    73,512.56/159,470.44 = 159,470.44/x
  3. Step 3: Cross multiply
    73,512.56x = 159,470.44 × 159,470.44
  4. Step 4: Simplify right side
    73,512.56x = 25,430,820,436.44
  5. Step 5: Solve for x
    x = 25,430,820,436.44/73,512.56
  6. Step 6: Final answer
    x = 345,938.43

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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.