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Finding the Third Proportional to 75,579 and 164,766

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Solution

The third proportional to 75,579 and 164,766 is: 359,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,579 : 164,766 = 164,766 : x
  2. Step 2: Convert to fraction form
    75,579/164,766 = 164,766/x
  3. Step 3: Cross multiply
    75,579x = 164,766 × 164,766
  4. Step 4: Simplify right side
    75,579x = 27,147,834,756
  5. Step 5: Solve for x
    x = 27,147,834,756/75,579
  6. Step 6: Final answer
    x = 359,198.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.