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Finding the Third Proportional to 51,912 and 80,094

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Solution

The third proportional to 51,912 and 80,094 is: 123,575.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,912 : 80,094 = 80,094 : x
  2. Step 2: Convert to fraction form
    51,912/80,094 = 80,094/x
  3. Step 3: Cross multiply
    51,912x = 80,094 × 80,094
  4. Step 4: Simplify right side
    51,912x = 6,415,048,836
  5. Step 5: Solve for x
    x = 6,415,048,836/51,912
  6. Step 6: Final answer
    x = 123,575.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.