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Finding the Third Proportional to 117,075 and 246,543

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Solution

The third proportional to 117,075 and 246,543 is: 519,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,075 : 246,543 = 246,543 : x
  2. Step 2: Convert to fraction form
    117,075/246,543 = 246,543/x
  3. Step 3: Cross multiply
    117,075x = 246,543 × 246,543
  4. Step 4: Simplify right side
    117,075x = 60,783,450,849
  5. Step 5: Solve for x
    x = 60,783,450,849/117,075
  6. Step 6: Final answer
    x = 519,183.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.