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Finding the Third Proportional to 106,164 and 154,868

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Solution

The third proportional to 106,164 and 154,868 is: 225,915.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,164 : 154,868 = 154,868 : x
  2. Step 2: Convert to fraction form
    106,164/154,868 = 154,868/x
  3. Step 3: Cross multiply
    106,164x = 154,868 × 154,868
  4. Step 4: Simplify right side
    106,164x = 23,984,097,424
  5. Step 5: Solve for x
    x = 23,984,097,424/106,164
  6. Step 6: Final answer
    x = 225,915.54

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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.