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Finding the Third Proportional to 54,593 and 119,369

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Solution

The third proportional to 54,593 and 119,369 is: 261,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,593 : 119,369 = 119,369 : x
  2. Step 2: Convert to fraction form
    54,593/119,369 = 119,369/x
  3. Step 3: Cross multiply
    54,593x = 119,369 × 119,369
  4. Step 4: Simplify right side
    54,593x = 14,248,958,161
  5. Step 5: Solve for x
    x = 14,248,958,161/54,593
  6. Step 6: Final answer
    x = 261,003.39

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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.