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Finding the Third Proportional to 69,029.25 and 140,961

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Solution

The third proportional to 69,029.25 and 140,961 is: 287,849.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,029.25 : 140,961 = 140,961 : x
  2. Step 2: Convert to fraction form
    69,029.25/140,961 = 140,961/x
  3. Step 3: Cross multiply
    69,029.25x = 140,961 × 140,961
  4. Step 4: Simplify right side
    69,029.25x = 19,870,003,521
  5. Step 5: Solve for x
    x = 19,870,003,521/69,029.25
  6. Step 6: Final answer
    x = 287,849.04

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.