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Finding the Third Proportional to 131,112 and 196,796

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Solution

The third proportional to 131,112 and 196,796 is: 295,386.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,112 : 196,796 = 196,796 : x
  2. Step 2: Convert to fraction form
    131,112/196,796 = 196,796/x
  3. Step 3: Cross multiply
    131,112x = 196,796 × 196,796
  4. Step 4: Simplify right side
    131,112x = 38,728,665,616
  5. Step 5: Solve for x
    x = 38,728,665,616/131,112
  6. Step 6: Final answer
    x = 295,386.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.