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Finding the Third Proportional to 106,326 and 220,123

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Solution

The third proportional to 106,326 and 220,123 is: 455,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,326 : 220,123 = 220,123 : x
  2. Step 2: Convert to fraction form
    106,326/220,123 = 220,123/x
  3. Step 3: Cross multiply
    106,326x = 220,123 × 220,123
  4. Step 4: Simplify right side
    106,326x = 48,454,135,129
  5. Step 5: Solve for x
    x = 48,454,135,129/106,326
  6. Step 6: Final answer
    x = 455,712.95

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.