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Finding the Third Proportional to 74,013 and 159,864

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Solution

The third proportional to 74,013 and 159,864 is: 345,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,013 : 159,864 = 159,864 : x
  2. Step 2: Convert to fraction form
    74,013/159,864 = 159,864/x
  3. Step 3: Cross multiply
    74,013x = 159,864 × 159,864
  4. Step 4: Simplify right side
    74,013x = 25,556,498,496
  5. Step 5: Solve for x
    x = 25,556,498,496/74,013
  6. Step 6: Final answer
    x = 345,297.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.