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Finding the Third Proportional to 68,961 and 140,820

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Solution

The third proportional to 68,961 and 140,820 is: 287,557.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,961 : 140,820 = 140,820 : x
  2. Step 2: Convert to fraction form
    68,961/140,820 = 140,820/x
  3. Step 3: Cross multiply
    68,961x = 140,820 × 140,820
  4. Step 4: Simplify right side
    68,961x = 19,830,272,400
  5. Step 5: Solve for x
    x = 19,830,272,400/68,961
  6. Step 6: Final answer
    x = 287,557.78

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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.