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Finding the Third Proportional to 62,367.75 and 137,189.25

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Solution

The third proportional to 62,367.75 and 137,189.25 is: 301,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,367.75 : 137,189.25 = 137,189.25 : x
  2. Step 2: Convert to fraction form
    62,367.75/137,189.25 = 137,189.25/x
  3. Step 3: Cross multiply
    62,367.75x = 137,189.25 × 137,189.25
  4. Step 4: Simplify right side
    62,367.75x = 18,820,890,315.56
  5. Step 5: Solve for x
    x = 18,820,890,315.56/62,367.75
  6. Step 6: Final answer
    x = 301,772.80

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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.