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Finding the Third Proportional to 55,907 and 74,930

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Solution

The third proportional to 55,907 and 74,930 is: 100,425.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,907 : 74,930 = 74,930 : x
  2. Step 2: Convert to fraction form
    55,907/74,930 = 74,930/x
  3. Step 3: Cross multiply
    55,907x = 74,930 × 74,930
  4. Step 4: Simplify right side
    55,907x = 5,614,504,900
  5. Step 5: Solve for x
    x = 5,614,504,900/55,907
  6. Step 6: Final answer
    x = 100,425.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.