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Finding the Third Proportional to 34,504 and 81,508

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Solution

The third proportional to 34,504 and 81,508 is: 192,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,504 : 81,508 = 81,508 : x
  2. Step 2: Convert to fraction form
    34,504/81,508 = 81,508/x
  3. Step 3: Cross multiply
    34,504x = 81,508 × 81,508
  4. Step 4: Simplify right side
    34,504x = 6,643,554,064
  5. Step 5: Solve for x
    x = 6,643,554,064/34,504
  6. Step 6: Final answer
    x = 192,544.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.