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Finding the Third Proportional to 54,836 and 119,068

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Solution

The third proportional to 54,836 and 119,068 is: 258,537.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,836 : 119,068 = 119,068 : x
  2. Step 2: Convert to fraction form
    54,836/119,068 = 119,068/x
  3. Step 3: Cross multiply
    54,836x = 119,068 × 119,068
  4. Step 4: Simplify right side
    54,836x = 14,177,188,624
  5. Step 5: Solve for x
    x = 14,177,188,624/54,836
  6. Step 6: Final answer
    x = 258,537.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.