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Finding the Third Proportional to 37,237 and 80,305

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Solution

The third proportional to 37,237 and 80,305 is: 173,185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,237 : 80,305 = 80,305 : x
  2. Step 2: Convert to fraction form
    37,237/80,305 = 80,305/x
  3. Step 3: Cross multiply
    37,237x = 80,305 × 80,305
  4. Step 4: Simplify right side
    37,237x = 6,448,893,025
  5. Step 5: Solve for x
    x = 6,448,893,025/37,237
  6. Step 6: Final answer
    x = 173,185.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.