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Finding the Third Proportional to 37,232 and 80,296

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Solution

The third proportional to 37,232 and 80,296 is: 173,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,232 : 80,296 = 80,296 : x
  2. Step 2: Convert to fraction form
    37,232/80,296 = 80,296/x
  3. Step 3: Cross multiply
    37,232x = 80,296 × 80,296
  4. Step 4: Simplify right side
    37,232x = 6,447,447,616
  5. Step 5: Solve for x
    x = 6,447,447,616/37,232
  6. Step 6: Final answer
    x = 173,169.52

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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.