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Finding the Third Proportional to 51,397.88 and 112,107.38

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Solution

The third proportional to 51,397.88 and 112,107.38 is: 244,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,397.88 : 112,107.38 = 112,107.38 : x
  2. Step 2: Convert to fraction form
    51,397.88/112,107.38 = 112,107.38/x
  3. Step 3: Cross multiply
    51,397.88x = 112,107.38 × 112,107.38
  4. Step 4: Simplify right side
    51,397.88x = 12,568,063,529.39
  5. Step 5: Solve for x
    x = 12,568,063,529.39/51,397.88
  6. Step 6: Final answer
    x = 244,524.96

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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.