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Finding the Third Proportional to 106,146 and 154,843

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Solution

The third proportional to 106,146 and 154,843 is: 225,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,146 : 154,843 = 154,843 : x
  2. Step 2: Convert to fraction form
    106,146/154,843 = 154,843/x
  3. Step 3: Cross multiply
    106,146x = 154,843 × 154,843
  4. Step 4: Simplify right side
    106,146x = 23,976,354,649
  5. Step 5: Solve for x
    x = 23,976,354,649/106,146
  6. Step 6: Final answer
    x = 225,880.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.