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Finding the Third Proportional to 47,949 and 104,263.50

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Solution

The third proportional to 47,949 and 104,263.50 is: 226,717.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,949 : 104,263.50 = 104,263.50 : x
  2. Step 2: Convert to fraction form
    47,949/104,263.50 = 104,263.50/x
  3. Step 3: Cross multiply
    47,949x = 104,263.50 × 104,263.50
  4. Step 4: Simplify right side
    47,949x = 10,870,877,432.25
  5. Step 5: Solve for x
    x = 10,870,877,432.25/47,949
  6. Step 6: Final answer
    x = 226,717.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.