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Finding the Third Proportional to 37,212 and 80,257

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Solution

The third proportional to 37,212 and 80,257 is: 173,094.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,212 : 80,257 = 80,257 : x
  2. Step 2: Convert to fraction form
    37,212/80,257 = 80,257/x
  3. Step 3: Cross multiply
    37,212x = 80,257 × 80,257
  4. Step 4: Simplify right side
    37,212x = 6,441,186,049
  5. Step 5: Solve for x
    x = 6,441,186,049/37,212
  6. Step 6: Final answer
    x = 173,094.33

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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.