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Finding the Third Proportional to 57,740 and 124,075

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Solution

The third proportional to 57,740 and 124,075 is: 266,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,740 : 124,075 = 124,075 : x
  2. Step 2: Convert to fraction form
    57,740/124,075 = 124,075/x
  3. Step 3: Cross multiply
    57,740x = 124,075 × 124,075
  4. Step 4: Simplify right side
    57,740x = 15,394,605,625
  5. Step 5: Solve for x
    x = 15,394,605,625/57,740
  6. Step 6: Final answer
    x = 266,619.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.