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Finding the Third Proportional to 123,308 and 167,100

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Solution

The third proportional to 123,308 and 167,100 is: 226,444.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,308 : 167,100 = 167,100 : x
  2. Step 2: Convert to fraction form
    123,308/167,100 = 167,100/x
  3. Step 3: Cross multiply
    123,308x = 167,100 × 167,100
  4. Step 4: Simplify right side
    123,308x = 27,922,410,000
  5. Step 5: Solve for x
    x = 27,922,410,000/123,308
  6. Step 6: Final answer
    x = 226,444.43

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.