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Finding the Third Proportional to 51,760 and 80,176

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Solution

The third proportional to 51,760 and 80,176 is: 124,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,760 : 80,176 = 80,176 : x
  2. Step 2: Convert to fraction form
    51,760/80,176 = 80,176/x
  3. Step 3: Cross multiply
    51,760x = 80,176 × 80,176
  4. Step 4: Simplify right side
    51,760x = 6,428,190,976
  5. Step 5: Solve for x
    x = 6,428,190,976/51,760
  6. Step 6: Final answer
    x = 124,192.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.