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Finding the Third Proportional to 31,453.31 and 68,442.75

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Solution

The third proportional to 31,453.31 and 68,442.75 is: 148,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,453.31 : 68,442.75 = 68,442.75 : x
  2. Step 2: Convert to fraction form
    31,453.31/68,442.75 = 68,442.75/x
  3. Step 3: Cross multiply
    31,453.31x = 68,442.75 × 68,442.75
  4. Step 4: Simplify right side
    31,453.31x = 4,684,410,027.56
  5. Step 5: Solve for x
    x = 4,684,410,027.56/31,453.31
  6. Step 6: Final answer
    x = 148,932.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.