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Finding the Third Proportional to 37,094 and 80,344

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Solution

The third proportional to 37,094 and 80,344 is: 174,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,094 : 80,344 = 80,344 : x
  2. Step 2: Convert to fraction form
    37,094/80,344 = 80,344/x
  3. Step 3: Cross multiply
    37,094x = 80,344 × 80,344
  4. Step 4: Simplify right side
    37,094x = 6,455,158,336
  5. Step 5: Solve for x
    x = 6,455,158,336/37,094
  6. Step 6: Final answer
    x = 174,021.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.