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Finding the Third Proportional to 74,015 and 159,868

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Solution

The third proportional to 74,015 and 159,868 is: 345,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,015 : 159,868 = 159,868 : x
  2. Step 2: Convert to fraction form
    74,015/159,868 = 159,868/x
  3. Step 3: Cross multiply
    74,015x = 159,868 × 159,868
  4. Step 4: Simplify right side
    74,015x = 25,557,777,424
  5. Step 5: Solve for x
    x = 25,557,777,424/74,015
  6. Step 6: Final answer
    x = 345,305.38

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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.