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Finding the Third Proportional to 54,826 and 119,796

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Solution

The third proportional to 54,826 and 119,796 is: 261,756.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,826 : 119,796 = 119,796 : x
  2. Step 2: Convert to fraction form
    54,826/119,796 = 119,796/x
  3. Step 3: Cross multiply
    54,826x = 119,796 × 119,796
  4. Step 4: Simplify right side
    54,826x = 14,351,081,616
  5. Step 5: Solve for x
    x = 14,351,081,616/54,826
  6. Step 6: Final answer
    x = 261,756.86

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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.