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Finding the Third Proportional to 57,361.22 and 123,026.06

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Solution

The third proportional to 57,361.22 and 123,026.06 is: 263,861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,361.22 : 123,026.06 = 123,026.06 : x
  2. Step 2: Convert to fraction form
    57,361.22/123,026.06 = 123,026.06/x
  3. Step 3: Cross multiply
    57,361.22x = 123,026.06 × 123,026.06
  4. Step 4: Simplify right side
    57,361.22x = 15,135,412,054.25
  5. Step 5: Solve for x
    x = 15,135,412,054.25/57,361.22
  6. Step 6: Final answer
    x = 263,861.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.