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Finding the Third Proportional to 74,922 and 159,379

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Solution

The third proportional to 74,922 and 159,379 is: 339,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,922 : 159,379 = 159,379 : x
  2. Step 2: Convert to fraction form
    74,922/159,379 = 159,379/x
  3. Step 3: Cross multiply
    74,922x = 159,379 × 159,379
  4. Step 4: Simplify right side
    74,922x = 25,401,665,641
  5. Step 5: Solve for x
    x = 25,401,665,641/74,922
  6. Step 6: Final answer
    x = 339,041.48

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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.