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Finding the Third Proportional to 74,040 and 159,901

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Solution

The third proportional to 74,040 and 159,901 is: 345,331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,040 : 159,901 = 159,901 : x
  2. Step 2: Convert to fraction form
    74,040/159,901 = 159,901/x
  3. Step 3: Cross multiply
    74,040x = 159,901 × 159,901
  4. Step 4: Simplify right side
    74,040x = 25,568,329,801
  5. Step 5: Solve for x
    x = 25,568,329,801/74,040
  6. Step 6: Final answer
    x = 345,331.30

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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.