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Finding the Third Proportional to 125,379 and 194,220

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Solution

The third proportional to 125,379 and 194,220 is: 300,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,379 : 194,220 = 194,220 : x
  2. Step 2: Convert to fraction form
    125,379/194,220 = 194,220/x
  3. Step 3: Cross multiply
    125,379x = 194,220 × 194,220
  4. Step 4: Simplify right side
    125,379x = 37,721,408,400
  5. Step 5: Solve for x
    x = 37,721,408,400/125,379
  6. Step 6: Final answer
    x = 300,859.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.