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Finding the Third Proportional to 81,903 and 123,431.25

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Solution

The third proportional to 81,903 and 123,431.25 is: 186,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,903 : 123,431.25 = 123,431.25 : x
  2. Step 2: Convert to fraction form
    81,903/123,431.25 = 123,431.25/x
  3. Step 3: Cross multiply
    81,903x = 123,431.25 × 123,431.25
  4. Step 4: Simplify right side
    81,903x = 15,235,273,476.56
  5. Step 5: Solve for x
    x = 15,235,273,476.56/81,903
  6. Step 6: Final answer
    x = 186,016.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.