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Finding the Third Proportional to 34,529 and 75,620

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Solution

The third proportional to 34,529 and 75,620 is: 165,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,529 : 75,620 = 75,620 : x
  2. Step 2: Convert to fraction form
    34,529/75,620 = 75,620/x
  3. Step 3: Cross multiply
    34,529x = 75,620 × 75,620
  4. Step 4: Simplify right side
    34,529x = 5,718,384,400
  5. Step 5: Solve for x
    x = 5,718,384,400/34,529
  6. Step 6: Final answer
    x = 165,611.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.