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Finding the Third Proportional to 123,740 and 275,812

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Solution

The third proportional to 123,740 and 275,812 is: 614,775.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,740 : 275,812 = 275,812 : x
  2. Step 2: Convert to fraction form
    123,740/275,812 = 275,812/x
  3. Step 3: Cross multiply
    123,740x = 275,812 × 275,812
  4. Step 4: Simplify right side
    123,740x = 76,072,259,344
  5. Step 5: Solve for x
    x = 76,072,259,344/123,740
  6. Step 6: Final answer
    x = 614,775.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.