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Finding the Third Proportional to 106,822 and 163,922

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Solution

The third proportional to 106,822 and 163,922 is: 251,543.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,822 : 163,922 = 163,922 : x
  2. Step 2: Convert to fraction form
    106,822/163,922 = 163,922/x
  3. Step 3: Cross multiply
    106,822x = 163,922 × 163,922
  4. Step 4: Simplify right side
    106,822x = 26,870,422,084
  5. Step 5: Solve for x
    x = 26,870,422,084/106,822
  6. Step 6: Final answer
    x = 251,543.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.