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Finding the Third Proportional to 49,504 and 81,267

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Solution

The third proportional to 49,504 and 81,267 is: 133,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,504 : 81,267 = 81,267 : x
  2. Step 2: Convert to fraction form
    49,504/81,267 = 81,267/x
  3. Step 3: Cross multiply
    49,504x = 81,267 × 81,267
  4. Step 4: Simplify right side
    49,504x = 6,604,325,289
  5. Step 5: Solve for x
    x = 6,604,325,289/49,504
  6. Step 6: Final answer
    x = 133,409.93

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.