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Finding the Third Proportional to 54,823 and 119,546

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Solution

The third proportional to 54,823 and 119,546 is: 260,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,823 : 119,546 = 119,546 : x
  2. Step 2: Convert to fraction form
    54,823/119,546 = 119,546/x
  3. Step 3: Cross multiply
    54,823x = 119,546 × 119,546
  4. Step 4: Simplify right side
    54,823x = 14,291,246,116
  5. Step 5: Solve for x
    x = 14,291,246,116/54,823
  6. Step 6: Final answer
    x = 260,679.75

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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.