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Finding the Third Proportional to 122,238 and 164,796.75

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Solution

The third proportional to 122,238 and 164,796.75 is: 222,172.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,238 : 164,796.75 = 164,796.75 : x
  2. Step 2: Convert to fraction form
    122,238/164,796.75 = 164,796.75/x
  3. Step 3: Cross multiply
    122,238x = 164,796.75 × 164,796.75
  4. Step 4: Simplify right side
    122,238x = 27,157,968,810.56
  5. Step 5: Solve for x
    x = 27,157,968,810.56/122,238
  6. Step 6: Final answer
    x = 222,172.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.