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Finding the Third Proportional to 63,310.50 and 135,096

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Solution

The third proportional to 63,310.50 and 135,096 is: 288,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,310.50 : 135,096 = 135,096 : x
  2. Step 2: Convert to fraction form
    63,310.50/135,096 = 135,096/x
  3. Step 3: Cross multiply
    63,310.50x = 135,096 × 135,096
  4. Step 4: Simplify right side
    63,310.50x = 18,250,929,216
  5. Step 5: Solve for x
    x = 18,250,929,216/63,310.50
  6. Step 6: Final answer
    x = 288,276.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.