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Finding the Third Proportional to 51,818.50 and 113,003

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Solution

The third proportional to 51,818.50 and 113,003 is: 246,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,818.50 : 113,003 = 113,003 : x
  2. Step 2: Convert to fraction form
    51,818.50/113,003 = 113,003/x
  3. Step 3: Cross multiply
    51,818.50x = 113,003 × 113,003
  4. Step 4: Simplify right side
    51,818.50x = 12,769,678,009
  5. Step 5: Solve for x
    x = 12,769,678,009/51,818.50
  6. Step 6: Final answer
    x = 246,430.87

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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.