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Finding the Third Proportional to 123,057 and 268,890.75

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Solution

The third proportional to 123,057 and 268,890.75 is: 587,550.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,057 : 268,890.75 = 268,890.75 : x
  2. Step 2: Convert to fraction form
    123,057/268,890.75 = 268,890.75/x
  3. Step 3: Cross multiply
    123,057x = 268,890.75 × 268,890.75
  4. Step 4: Simplify right side
    123,057x = 72,302,235,435.56
  5. Step 5: Solve for x
    x = 72,302,235,435.56/123,057
  6. Step 6: Final answer
    x = 587,550.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.