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Finding the Third Proportional to 48,974 and 105,722

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Solution

The third proportional to 48,974 and 105,722 is: 228,226.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,974 : 105,722 = 105,722 : x
  2. Step 2: Convert to fraction form
    48,974/105,722 = 105,722/x
  3. Step 3: Cross multiply
    48,974x = 105,722 × 105,722
  4. Step 4: Simplify right side
    48,974x = 11,177,141,284
  5. Step 5: Solve for x
    x = 11,177,141,284/48,974
  6. Step 6: Final answer
    x = 228,226.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.