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Finding the Third Proportional to 63,817 and 140,674

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Solution

The third proportional to 63,817 and 140,674 is: 310,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,817 : 140,674 = 140,674 : x
  2. Step 2: Convert to fraction form
    63,817/140,674 = 140,674/x
  3. Step 3: Cross multiply
    63,817x = 140,674 × 140,674
  4. Step 4: Simplify right side
    63,817x = 19,789,174,276
  5. Step 5: Solve for x
    x = 19,789,174,276/63,817
  6. Step 6: Final answer
    x = 310,092.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.