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Finding the Third Proportional to 48,974 and 105,052

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Solution

The third proportional to 48,974 and 105,052 is: 225,342.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,974 : 105,052 = 105,052 : x
  2. Step 2: Convert to fraction form
    48,974/105,052 = 105,052/x
  3. Step 3: Cross multiply
    48,974x = 105,052 × 105,052
  4. Step 4: Simplify right side
    48,974x = 11,035,922,704
  5. Step 5: Solve for x
    x = 11,035,922,704/48,974
  6. Step 6: Final answer
    x = 225,342.48

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Why These Related Problems?

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