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Finding the Third Proportional to 63,797.50 and 137,344.50

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Solution

The third proportional to 63,797.50 and 137,344.50 is: 295,677.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,797.50 : 137,344.50 = 137,344.50 : x
  2. Step 2: Convert to fraction form
    63,797.50/137,344.50 = 137,344.50/x
  3. Step 3: Cross multiply
    63,797.50x = 137,344.50 × 137,344.50
  4. Step 4: Simplify right side
    63,797.50x = 18,863,511,680.25
  5. Step 5: Solve for x
    x = 18,863,511,680.25/63,797.50
  6. Step 6: Final answer
    x = 295,677.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.