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Finding the Third Proportional to 38,360 and 80,176

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Solution

The third proportional to 38,360 and 80,176 is: 167,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,360 : 80,176 = 80,176 : x
  2. Step 2: Convert to fraction form
    38,360/80,176 = 80,176/x
  3. Step 3: Cross multiply
    38,360x = 80,176 × 80,176
  4. Step 4: Simplify right side
    38,360x = 6,428,190,976
  5. Step 5: Solve for x
    x = 6,428,190,976/38,360
  6. Step 6: Final answer
    x = 167,575.36

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.