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Finding the Third Proportional to 63,823 and 139,918

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Solution

The third proportional to 63,823 and 139,918 is: 306,739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,823 : 139,918 = 139,918 : x
  2. Step 2: Convert to fraction form
    63,823/139,918 = 139,918/x
  3. Step 3: Cross multiply
    63,823x = 139,918 × 139,918
  4. Step 4: Simplify right side
    63,823x = 19,577,046,724
  5. Step 5: Solve for x
    x = 19,577,046,724/63,823
  6. Step 6: Final answer
    x = 306,739.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.