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Finding the Third Proportional to 48,734.50 and 105,004

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Solution

The third proportional to 48,734.50 and 105,004 is: 226,243.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,734.50 : 105,004 = 105,004 : x
  2. Step 2: Convert to fraction form
    48,734.50/105,004 = 105,004/x
  3. Step 3: Cross multiply
    48,734.50x = 105,004 × 105,004
  4. Step 4: Simplify right side
    48,734.50x = 11,025,840,016
  5. Step 5: Solve for x
    x = 11,025,840,016/48,734.50
  6. Step 6: Final answer
    x = 226,243.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.