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Finding the Third Proportional to 67,024 and 140,576

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Solution

The third proportional to 67,024 and 140,576 is: 294,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,024 : 140,576 = 140,576 : x
  2. Step 2: Convert to fraction form
    67,024/140,576 = 140,576/x
  3. Step 3: Cross multiply
    67,024x = 140,576 × 140,576
  4. Step 4: Simplify right side
    67,024x = 19,761,611,776
  5. Step 5: Solve for x
    x = 19,761,611,776/67,024
  6. Step 6: Final answer
    x = 294,843.81

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.