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Finding the Third Proportional to 54,722 and 119,029

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Solution

The third proportional to 54,722 and 119,029 is: 258,906.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,722 : 119,029 = 119,029 : x
  2. Step 2: Convert to fraction form
    54,722/119,029 = 119,029/x
  3. Step 3: Cross multiply
    54,722x = 119,029 × 119,029
  4. Step 4: Simplify right side
    54,722x = 14,167,902,841
  5. Step 5: Solve for x
    x = 14,167,902,841/54,722
  6. Step 6: Final answer
    x = 258,906.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.