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Finding the Third Proportional to 54,840 and 119,075

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Solution

The third proportional to 54,840 and 119,075 is: 258,549.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,840 : 119,075 = 119,075 : x
  2. Step 2: Convert to fraction form
    54,840/119,075 = 119,075/x
  3. Step 3: Cross multiply
    54,840x = 119,075 × 119,075
  4. Step 4: Simplify right side
    54,840x = 14,178,855,625
  5. Step 5: Solve for x
    x = 14,178,855,625/54,840
  6. Step 6: Final answer
    x = 258,549.52

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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.