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Finding the Third Proportional to 134,911 and 194,907

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Solution

The third proportional to 134,911 and 194,907 is: 281,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,911 : 194,907 = 194,907 : x
  2. Step 2: Convert to fraction form
    134,911/194,907 = 194,907/x
  3. Step 3: Cross multiply
    134,911x = 194,907 × 194,907
  4. Step 4: Simplify right side
    134,911x = 37,988,738,649
  5. Step 5: Solve for x
    x = 37,988,738,649/134,911
  6. Step 6: Final answer
    x = 281,583.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.