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Finding the Third Proportional to 63,817.50 and 140,676

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Solution

The third proportional to 63,817.50 and 140,676 is: 310,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,817.50 : 140,676 = 140,676 : x
  2. Step 2: Convert to fraction form
    63,817.50/140,676 = 140,676/x
  3. Step 3: Cross multiply
    63,817.50x = 140,676 × 140,676
  4. Step 4: Simplify right side
    63,817.50x = 19,789,736,976
  5. Step 5: Solve for x
    x = 19,789,736,976/63,817.50
  6. Step 6: Final answer
    x = 310,098.91

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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.