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Finding the Third Proportional to 37,093 and 80,152

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Solution

The third proportional to 37,093 and 80,152 is: 173,195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,093 : 80,152 = 80,152 : x
  2. Step 2: Convert to fraction form
    37,093/80,152 = 80,152/x
  3. Step 3: Cross multiply
    37,093x = 80,152 × 80,152
  4. Step 4: Simplify right side
    37,093x = 6,424,343,104
  5. Step 5: Solve for x
    x = 6,424,343,104/37,093
  6. Step 6: Final answer
    x = 173,195.57

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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.