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Finding the Third Proportional to 63,466.50 and 135,084

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Solution

The third proportional to 63,466.50 and 135,084 is: 287,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,466.50 : 135,084 = 135,084 : x
  2. Step 2: Convert to fraction form
    63,466.50/135,084 = 135,084/x
  3. Step 3: Cross multiply
    63,466.50x = 135,084 × 135,084
  4. Step 4: Simplify right side
    63,466.50x = 18,247,687,056
  5. Step 5: Solve for x
    x = 18,247,687,056/63,466.50
  6. Step 6: Final answer
    x = 287,516.83

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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.