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Finding the Third Proportional to 51,094 and 76,327

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Solution

The third proportional to 51,094 and 76,327 is: 114,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,094 : 76,327 = 76,327 : x
  2. Step 2: Convert to fraction form
    51,094/76,327 = 76,327/x
  3. Step 3: Cross multiply
    51,094x = 76,327 × 76,327
  4. Step 4: Simplify right side
    51,094x = 5,825,810,929
  5. Step 5: Solve for x
    x = 5,825,810,929/51,094
  6. Step 6: Final answer
    x = 114,021.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.