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Finding the Third Proportional to 54,567 and 119,279

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Solution

The third proportional to 54,567 and 119,279 is: 260,734.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,567 : 119,279 = 119,279 : x
  2. Step 2: Convert to fraction form
    54,567/119,279 = 119,279/x
  3. Step 3: Cross multiply
    54,567x = 119,279 × 119,279
  4. Step 4: Simplify right side
    54,567x = 14,227,479,841
  5. Step 5: Solve for x
    x = 14,227,479,841/54,567
  6. Step 6: Final answer
    x = 260,734.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.