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Finding the Third Proportional to 49,170 and 76,827

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Solution

The third proportional to 49,170 and 76,827 is: 120,040.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,170 : 76,827 = 76,827 : x
  2. Step 2: Convert to fraction form
    49,170/76,827 = 76,827/x
  3. Step 3: Cross multiply
    49,170x = 76,827 × 76,827
  4. Step 4: Simplify right side
    49,170x = 5,902,387,929
  5. Step 5: Solve for x
    x = 5,902,387,929/49,170
  6. Step 6: Final answer
    x = 120,040.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.