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Finding the Third Proportional to 123,933.38 and 167,216.06

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Solution

The third proportional to 123,933.38 and 167,216.06 is: 225,614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,933.38 : 167,216.06 = 167,216.06 : x
  2. Step 2: Convert to fraction form
    123,933.38/167,216.06 = 167,216.06/x
  3. Step 3: Cross multiply
    123,933.38x = 167,216.06 × 167,216.06
  4. Step 4: Simplify right side
    123,933.38x = 27,961,211,558.00
  5. Step 5: Solve for x
    x = 27,961,211,558.00/123,933.38
  6. Step 6: Final answer
    x = 225,614.86

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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.