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Finding the Third Proportional to 51,382.88 and 112,103.34

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Solution

The third proportional to 51,382.88 and 112,103.34 is: 244,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,382.88 : 112,103.34 = 112,103.34 : x
  2. Step 2: Convert to fraction form
    51,382.88/112,103.34 = 112,103.34/x
  3. Step 3: Cross multiply
    51,382.88x = 112,103.34 × 112,103.34
  4. Step 4: Simplify right side
    51,382.88x = 12,567,159,679.93
  5. Step 5: Solve for x
    x = 12,567,159,679.93/51,382.88
  6. Step 6: Final answer
    x = 244,578.76

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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.