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Finding the Third Proportional to 48,168 and 72,036

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Solution

The third proportional to 48,168 and 72,036 is: 107,730.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,168 : 72,036 = 72,036 : x
  2. Step 2: Convert to fraction form
    48,168/72,036 = 72,036/x
  3. Step 3: Cross multiply
    48,168x = 72,036 × 72,036
  4. Step 4: Simplify right side
    48,168x = 5,189,185,296
  5. Step 5: Solve for x
    x = 5,189,185,296/48,168
  6. Step 6: Final answer
    x = 107,730.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.