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Finding the Third Proportional to 84,912 and 179,930

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Solution

The third proportional to 84,912 and 179,930 is: 381,274.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912 : 179,930 = 179,930 : x
  2. Step 2: Convert to fraction form
    84,912/179,930 = 179,930/x
  3. Step 3: Cross multiply
    84,912x = 179,930 × 179,930
  4. Step 4: Simplify right side
    84,912x = 32,374,804,900
  5. Step 5: Solve for x
    x = 32,374,804,900/84,912
  6. Step 6: Final answer
    x = 381,274.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.