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Finding the Third Proportional to 123,131.34 and 269,617.03

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Solution

The third proportional to 123,131.34 and 269,617.03 is: 590,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,131.34 : 269,617.03 = 269,617.03 : x
  2. Step 2: Convert to fraction form
    123,131.34/269,617.03 = 269,617.03/x
  3. Step 3: Cross multiply
    123,131.34x = 269,617.03 × 269,617.03
  4. Step 4: Simplify right side
    123,131.34x = 72,693,343,540.06
  5. Step 5: Solve for x
    x = 72,693,343,540.06/123,131.34
  6. Step 6: Final answer
    x = 590,372.37

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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.