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Finding the Third Proportional to 54,608 and 119,098

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Solution

The third proportional to 54,608 and 119,098 is: 259,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,608 : 119,098 = 119,098 : x
  2. Step 2: Convert to fraction form
    54,608/119,098 = 119,098/x
  3. Step 3: Cross multiply
    54,608x = 119,098 × 119,098
  4. Step 4: Simplify right side
    54,608x = 14,184,333,604
  5. Step 5: Solve for x
    x = 14,184,333,604/54,608
  6. Step 6: Final answer
    x = 259,748.27

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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.