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Finding the Third Proportional to 51,951.94 and 112,193.44

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Solution

The third proportional to 51,951.94 and 112,193.44 is: 242,288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,951.94 : 112,193.44 = 112,193.44 : x
  2. Step 2: Convert to fraction form
    51,951.94/112,193.44 = 112,193.44/x
  3. Step 3: Cross multiply
    51,951.94x = 112,193.44 × 112,193.44
  4. Step 4: Simplify right side
    51,951.94x = 12,587,367,418.07
  5. Step 5: Solve for x
    x = 12,587,367,418.07/51,951.94
  6. Step 6: Final answer
    x = 242,288.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.