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Finding the Third Proportional to 69,091.73 and 146,486.95

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Solution

The third proportional to 69,091.73 and 146,486.95 is: 310,578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,091.73 : 146,486.95 = 146,486.95 : x
  2. Step 2: Convert to fraction form
    69,091.73/146,486.95 = 146,486.95/x
  3. Step 3: Cross multiply
    69,091.73x = 146,486.95 × 146,486.95
  4. Step 4: Simplify right side
    69,091.73x = 21,458,427,435.85
  5. Step 5: Solve for x
    x = 21,458,427,435.85/69,091.73
  6. Step 6: Final answer
    x = 310,578.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.