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Finding the Third Proportional to 68,416.75 and 149,442.75

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Solution

The third proportional to 68,416.75 and 149,442.75 is: 326,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,416.75 : 149,442.75 = 149,442.75 : x
  2. Step 2: Convert to fraction form
    68,416.75/149,442.75 = 149,442.75/x
  3. Step 3: Cross multiply
    68,416.75x = 149,442.75 × 149,442.75
  4. Step 4: Simplify right side
    68,416.75x = 22,333,135,527.56
  5. Step 5: Solve for x
    x = 22,333,135,527.56/68,416.75
  6. Step 6: Final answer
    x = 326,427.89

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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.