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Finding the Third Proportional to 51,523.50 and 108,583.50

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Solution

The third proportional to 51,523.50 and 108,583.50 is: 228,834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,523.50 : 108,583.50 = 108,583.50 : x
  2. Step 2: Convert to fraction form
    51,523.50/108,583.50 = 108,583.50/x
  3. Step 3: Cross multiply
    51,523.50x = 108,583.50 × 108,583.50
  4. Step 4: Simplify right side
    51,523.50x = 11,790,376,472.25
  5. Step 5: Solve for x
    x = 11,790,376,472.25/51,523.50
  6. Step 6: Final answer
    x = 228,834.93

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.