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Finding the Third Proportional to 106,834 and 154,739

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Solution

The third proportional to 106,834 and 154,739 is: 224,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,834 : 154,739 = 154,739 : x
  2. Step 2: Convert to fraction form
    106,834/154,739 = 154,739/x
  3. Step 3: Cross multiply
    106,834x = 154,739 × 154,739
  4. Step 4: Simplify right side
    106,834x = 23,944,158,121
  5. Step 5: Solve for x
    x = 23,944,158,121/106,834
  6. Step 6: Final answer
    x = 224,124.89

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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.