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Finding the Third Proportional to 125,383 and 194,226

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Solution

The third proportional to 125,383 and 194,226 is: 300,868.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,383 : 194,226 = 194,226 : x
  2. Step 2: Convert to fraction form
    125,383/194,226 = 194,226/x
  3. Step 3: Cross multiply
    125,383x = 194,226 × 194,226
  4. Step 4: Simplify right side
    125,383x = 37,723,739,076
  5. Step 5: Solve for x
    x = 37,723,739,076/125,383
  6. Step 6: Final answer
    x = 300,868.05

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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.