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Finding the Third Proportional to 62,996.50 and 137,063

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Solution

The third proportional to 62,996.50 and 137,063 is: 298,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,996.50 : 137,063 = 137,063 : x
  2. Step 2: Convert to fraction form
    62,996.50/137,063 = 137,063/x
  3. Step 3: Cross multiply
    62,996.50x = 137,063 × 137,063
  4. Step 4: Simplify right side
    62,996.50x = 18,786,265,969
  5. Step 5: Solve for x
    x = 18,786,265,969/62,996.50
  6. Step 6: Final answer
    x = 298,211.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.