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Finding the Third Proportional to 68,871 and 150,846

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Solution

The third proportional to 68,871 and 150,846 is: 330,393.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,871 : 150,846 = 150,846 : x
  2. Step 2: Convert to fraction form
    68,871/150,846 = 150,846/x
  3. Step 3: Cross multiply
    68,871x = 150,846 × 150,846
  4. Step 4: Simplify right side
    68,871x = 22,754,515,716
  5. Step 5: Solve for x
    x = 22,754,515,716/68,871
  6. Step 6: Final answer
    x = 330,393.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.