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Finding the Third Proportional to 74,704 and 159,392

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Solution

The third proportional to 74,704 and 159,392 is: 340,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,704 : 159,392 = 159,392 : x
  2. Step 2: Convert to fraction form
    74,704/159,392 = 159,392/x
  3. Step 3: Cross multiply
    74,704x = 159,392 × 159,392
  4. Step 4: Simplify right side
    74,704x = 25,405,809,664
  5. Step 5: Solve for x
    x = 25,405,809,664/74,704
  6. Step 6: Final answer
    x = 340,086.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.