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Finding the Third Proportional to 54,938 and 119,668

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Solution

The third proportional to 54,938 and 119,668 is: 260,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,938 : 119,668 = 119,668 : x
  2. Step 2: Convert to fraction form
    54,938/119,668 = 119,668/x
  3. Step 3: Cross multiply
    54,938x = 119,668 × 119,668
  4. Step 4: Simplify right side
    54,938x = 14,320,430,224
  5. Step 5: Solve for x
    x = 14,320,430,224/54,938
  6. Step 6: Final answer
    x = 260,665.30

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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.