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Finding the Third Proportional to 49,951.50 and 107,010

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Solution

The third proportional to 49,951.50 and 107,010 is: 229,245.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,951.50 : 107,010 = 107,010 : x
  2. Step 2: Convert to fraction form
    49,951.50/107,010 = 107,010/x
  3. Step 3: Cross multiply
    49,951.50x = 107,010 × 107,010
  4. Step 4: Simplify right side
    49,951.50x = 11,451,140,100
  5. Step 5: Solve for x
    x = 11,451,140,100/49,951.50
  6. Step 6: Final answer
    x = 229,245.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.