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Finding the Third Proportional to 51,815.50 and 112,997

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Solution

The third proportional to 51,815.50 and 112,997 is: 246,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,815.50 : 112,997 = 112,997 : x
  2. Step 2: Convert to fraction form
    51,815.50/112,997 = 112,997/x
  3. Step 3: Cross multiply
    51,815.50x = 112,997 × 112,997
  4. Step 4: Simplify right side
    51,815.50x = 12,768,322,009
  5. Step 5: Solve for x
    x = 12,768,322,009/51,815.50
  6. Step 6: Final answer
    x = 246,418.97

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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.