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Finding the Third Proportional to 74,568 and 104,256

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Solution

The third proportional to 74,568 and 104,256 is: 145,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,568 : 104,256 = 104,256 : x
  2. Step 2: Convert to fraction form
    74,568/104,256 = 104,256/x
  3. Step 3: Cross multiply
    74,568x = 104,256 × 104,256
  4. Step 4: Simplify right side
    74,568x = 10,869,313,536
  5. Step 5: Solve for x
    x = 10,869,313,536/74,568
  6. Step 6: Final answer
    x = 145,763.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.