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Finding the Third Proportional to 125,286 and 194,121

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Solution

The third proportional to 125,286 and 194,121 is: 300,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,286 : 194,121 = 194,121 : x
  2. Step 2: Convert to fraction form
    125,286/194,121 = 194,121/x
  3. Step 3: Cross multiply
    125,286x = 194,121 × 194,121
  4. Step 4: Simplify right side
    125,286x = 37,682,962,641
  5. Step 5: Solve for x
    x = 37,682,962,641/125,286
  6. Step 6: Final answer
    x = 300,775.53

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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.