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Finding the Third Proportional to 106,450 and 148,009

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Solution

The third proportional to 106,450 and 148,009 is: 205,792.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,450 : 148,009 = 148,009 : x
  2. Step 2: Convert to fraction form
    106,450/148,009 = 148,009/x
  3. Step 3: Cross multiply
    106,450x = 148,009 × 148,009
  4. Step 4: Simplify right side
    106,450x = 21,906,664,081
  5. Step 5: Solve for x
    x = 21,906,664,081/106,450
  6. Step 6: Final answer
    x = 205,792.99

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.