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Finding the Third Proportional to 62,318 and 137,096

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Solution

The third proportional to 62,318 and 137,096 is: 301,603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,318 : 137,096 = 137,096 : x
  2. Step 2: Convert to fraction form
    62,318/137,096 = 137,096/x
  3. Step 3: Cross multiply
    62,318x = 137,096 × 137,096
  4. Step 4: Simplify right side
    62,318x = 18,795,313,216
  5. Step 5: Solve for x
    x = 18,795,313,216/62,318
  6. Step 6: Final answer
    x = 301,603.28

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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.