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Finding the Third Proportional to 125,644 and 194,299

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Solution

The third proportional to 125,644 and 194,299 is: 300,468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,644 : 194,299 = 194,299 : x
  2. Step 2: Convert to fraction form
    125,644/194,299 = 194,299/x
  3. Step 3: Cross multiply
    125,644x = 194,299 × 194,299
  4. Step 4: Simplify right side
    125,644x = 37,752,101,401
  5. Step 5: Solve for x
    x = 37,752,101,401/125,644
  6. Step 6: Final answer
    x = 300,468.80

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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.