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Finding the Third Proportional to 125,339 and 194,171

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Solution

The third proportional to 125,339 and 194,171 is: 300,803.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,339 : 194,171 = 194,171 : x
  2. Step 2: Convert to fraction form
    125,339/194,171 = 194,171/x
  3. Step 3: Cross multiply
    125,339x = 194,171 × 194,171
  4. Step 4: Simplify right side
    125,339x = 37,702,377,241
  5. Step 5: Solve for x
    x = 37,702,377,241/125,339
  6. Step 6: Final answer
    x = 300,803.24

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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.