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Finding the Third Proportional to 74,227.25 and 175,044.75

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Solution

The third proportional to 74,227.25 and 175,044.75 is: 412,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,227.25 : 175,044.75 = 175,044.75 : x
  2. Step 2: Convert to fraction form
    74,227.25/175,044.75 = 175,044.75/x
  3. Step 3: Cross multiply
    74,227.25x = 175,044.75 × 175,044.75
  4. Step 4: Simplify right side
    74,227.25x = 30,640,664,502.56
  5. Step 5: Solve for x
    x = 30,640,664,502.56/74,227.25
  6. Step 6: Final answer
    x = 412,795.36

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.