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Finding the Third Proportional to 123,795 and 259,740

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Solution

The third proportional to 123,795 and 259,740 is: 544,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,795 : 259,740 = 259,740 : x
  2. Step 2: Convert to fraction form
    123,795/259,740 = 259,740/x
  3. Step 3: Cross multiply
    123,795x = 259,740 × 259,740
  4. Step 4: Simplify right side
    123,795x = 67,464,867,600
  5. Step 5: Solve for x
    x = 67,464,867,600/123,795
  6. Step 6: Final answer
    x = 544,972.48

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.