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Finding the Third Proportional to 37,097 and 80,350

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Solution

The third proportional to 37,097 and 80,350 is: 174,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,097 : 80,350 = 80,350 : x
  2. Step 2: Convert to fraction form
    37,097/80,350 = 80,350/x
  3. Step 3: Cross multiply
    37,097x = 80,350 × 80,350
  4. Step 4: Simplify right side
    37,097x = 6,456,122,500
  5. Step 5: Solve for x
    x = 6,456,122,500/37,097
  6. Step 6: Final answer
    x = 174,033.55

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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.