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Finding the Third Proportional to 49,473.75 and 110,020.50

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Solution

The third proportional to 49,473.75 and 110,020.50 is: 244,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,473.75 : 110,020.50 = 110,020.50 : x
  2. Step 2: Convert to fraction form
    49,473.75/110,020.50 = 110,020.50/x
  3. Step 3: Cross multiply
    49,473.75x = 110,020.50 × 110,020.50
  4. Step 4: Simplify right side
    49,473.75x = 12,104,510,420.25
  5. Step 5: Solve for x
    x = 12,104,510,420.25/49,473.75
  6. Step 6: Final answer
    x = 244,665.31

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.