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Finding the Third Proportional to 131,996.50 and 270,144

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Solution

The third proportional to 131,996.50 and 270,144 is: 552,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,996.50 : 270,144 = 270,144 : x
  2. Step 2: Convert to fraction form
    131,996.50/270,144 = 270,144/x
  3. Step 3: Cross multiply
    131,996.50x = 270,144 × 270,144
  4. Step 4: Simplify right side
    131,996.50x = 72,977,780,736
  5. Step 5: Solve for x
    x = 72,977,780,736/131,996.50
  6. Step 6: Final answer
    x = 552,876.63

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.