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Finding the Third Proportional to 123,912 and 263,808

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Solution

The third proportional to 123,912 and 263,808 is: 561,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,912 : 263,808 = 263,808 : x
  2. Step 2: Convert to fraction form
    123,912/263,808 = 263,808/x
  3. Step 3: Cross multiply
    123,912x = 263,808 × 263,808
  4. Step 4: Simplify right side
    123,912x = 69,594,660,864
  5. Step 5: Solve for x
    x = 69,594,660,864/123,912
  6. Step 6: Final answer
    x = 561,645.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.