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Finding the Third Proportional to 63,996 and 84,919.50

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Solution

The third proportional to 63,996 and 84,919.50 is: 112,683.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,996 : 84,919.50 = 84,919.50 : x
  2. Step 2: Convert to fraction form
    63,996/84,919.50 = 84,919.50/x
  3. Step 3: Cross multiply
    63,996x = 84,919.50 × 84,919.50
  4. Step 4: Simplify right side
    63,996x = 7,211,321,480.25
  5. Step 5: Solve for x
    x = 7,211,321,480.25/63,996
  6. Step 6: Final answer
    x = 112,683.94

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.