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Finding the Third Proportional to 105,799 and 163,923

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Solution

The third proportional to 105,799 and 163,923 is: 253,979.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,799 : 163,923 = 163,923 : x
  2. Step 2: Convert to fraction form
    105,799/163,923 = 163,923/x
  3. Step 3: Cross multiply
    105,799x = 163,923 × 163,923
  4. Step 4: Simplify right side
    105,799x = 26,870,749,929
  5. Step 5: Solve for x
    x = 26,870,749,929/105,799
  6. Step 6: Final answer
    x = 253,979.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.