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Finding the Third Proportional to 75,605 and 162,766

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Solution

The third proportional to 75,605 and 162,766 is: 350,410.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,605 : 162,766 = 162,766 : x
  2. Step 2: Convert to fraction form
    75,605/162,766 = 162,766/x
  3. Step 3: Cross multiply
    75,605x = 162,766 × 162,766
  4. Step 4: Simplify right side
    75,605x = 26,492,770,756
  5. Step 5: Solve for x
    x = 26,492,770,756/75,605
  6. Step 6: Final answer
    x = 350,410.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.