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Finding the Third Proportional to 123,556.73 and 269,769.42

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Solution

The third proportional to 123,556.73 and 269,769.42 is: 589,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,556.73 : 269,769.42 = 269,769.42 : x
  2. Step 2: Convert to fraction form
    123,556.73/269,769.42 = 269,769.42/x
  3. Step 3: Cross multiply
    123,556.73x = 269,769.42 × 269,769.42
  4. Step 4: Simplify right side
    123,556.73x = 72,775,540,978.77
  5. Step 5: Solve for x
    x = 72,775,540,978.77/123,556.73
  6. Step 6: Final answer
    x = 589,005.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.