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Finding the Third Proportional to 106,838 and 154,749

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Solution

The third proportional to 106,838 and 154,749 is: 224,145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,838 : 154,749 = 154,749 : x
  2. Step 2: Convert to fraction form
    106,838/154,749 = 154,749/x
  3. Step 3: Cross multiply
    106,838x = 154,749 × 154,749
  4. Step 4: Simplify right side
    106,838x = 23,947,253,001
  5. Step 5: Solve for x
    x = 23,947,253,001/106,838
  6. Step 6: Final answer
    x = 224,145.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.