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Finding the Third Proportional to 37,594 and 80,192

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Solution

The third proportional to 37,594 and 80,192 is: 171,058.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,594 : 80,192 = 80,192 : x
  2. Step 2: Convert to fraction form
    37,594/80,192 = 80,192/x
  3. Step 3: Cross multiply
    37,594x = 80,192 × 80,192
  4. Step 4: Simplify right side
    37,594x = 6,430,756,864
  5. Step 5: Solve for x
    x = 6,430,756,864/37,594
  6. Step 6: Final answer
    x = 171,058.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.