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Finding the Third Proportional to 70,409.25 and 146,665.69

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Solution

The third proportional to 70,409.25 and 146,665.69 is: 305,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,409.25 : 146,665.69 = 146,665.69 : x
  2. Step 2: Convert to fraction form
    70,409.25/146,665.69 = 146,665.69/x
  3. Step 3: Cross multiply
    70,409.25x = 146,665.69 × 146,665.69
  4. Step 4: Simplify right side
    70,409.25x = 21,510,823,889.85
  5. Step 5: Solve for x
    x = 21,510,823,889.85/70,409.25
  6. Step 6: Final answer
    x = 305,511.33

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.