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Finding the Third Proportional to 68,900 and 140,722

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Solution

The third proportional to 68,900 and 140,722 is: 287,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,900 : 140,722 = 140,722 : x
  2. Step 2: Convert to fraction form
    68,900/140,722 = 140,722/x
  3. Step 3: Cross multiply
    68,900x = 140,722 × 140,722
  4. Step 4: Simplify right side
    68,900x = 19,802,681,284
  5. Step 5: Solve for x
    x = 19,802,681,284/68,900
  6. Step 6: Final answer
    x = 287,411.92

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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.