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Finding the Third Proportional to 51,995.50 and 111,872.50

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Solution

The third proportional to 51,995.50 and 111,872.50 is: 240,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,995.50 : 111,872.50 = 111,872.50 : x
  2. Step 2: Convert to fraction form
    51,995.50/111,872.50 = 111,872.50/x
  3. Step 3: Cross multiply
    51,995.50x = 111,872.50 × 111,872.50
  4. Step 4: Simplify right side
    51,995.50x = 12,515,456,256.25
  5. Step 5: Solve for x
    x = 12,515,456,256.25/51,995.50
  6. Step 6: Final answer
    x = 240,702.68

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