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Finding the Third Proportional to 51,705.56 and 113,886.56

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Solution

The third proportional to 51,705.56 and 113,886.56 is: 250,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,705.56 : 113,886.56 = 113,886.56 : x
  2. Step 2: Convert to fraction form
    51,705.56/113,886.56 = 113,886.56/x
  3. Step 3: Cross multiply
    51,705.56x = 113,886.56 × 113,886.56
  4. Step 4: Simplify right side
    51,705.56x = 12,970,149,118.07
  5. Step 5: Solve for x
    x = 12,970,149,118.07/51,705.56
  6. Step 6: Final answer
    x = 250,846.30

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.