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Finding the Third Proportional to 133,559 and 190,977

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Solution

The third proportional to 133,559 and 190,977 is: 273,079.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,559 : 190,977 = 190,977 : x
  2. Step 2: Convert to fraction form
    133,559/190,977 = 190,977/x
  3. Step 3: Cross multiply
    133,559x = 190,977 × 190,977
  4. Step 4: Simplify right side
    133,559x = 36,472,214,529
  5. Step 5: Solve for x
    x = 36,472,214,529/133,559
  6. Step 6: Final answer
    x = 273,079.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.