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Finding the Third Proportional to 69,168 and 140,872

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Solution

The third proportional to 69,168 and 140,872 is: 286,908.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,168 : 140,872 = 140,872 : x
  2. Step 2: Convert to fraction form
    69,168/140,872 = 140,872/x
  3. Step 3: Cross multiply
    69,168x = 140,872 × 140,872
  4. Step 4: Simplify right side
    69,168x = 19,844,920,384
  5. Step 5: Solve for x
    x = 19,844,920,384/69,168
  6. Step 6: Final answer
    x = 286,908.98

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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.