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Finding the Third Proportional to 48,972 and 109,923

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Solution

The third proportional to 48,972 and 109,923 is: 246,734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,972 : 109,923 = 109,923 : x
  2. Step 2: Convert to fraction form
    48,972/109,923 = 109,923/x
  3. Step 3: Cross multiply
    48,972x = 109,923 × 109,923
  4. Step 4: Simplify right side
    48,972x = 12,083,065,929
  5. Step 5: Solve for x
    x = 12,083,065,929/48,972
  6. Step 6: Final answer
    x = 246,734.17

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.