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Finding the Third Proportional to 129,257 and 194,021

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Solution

The third proportional to 129,257 and 194,021 is: 291,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,257 : 194,021 = 194,021 : x
  2. Step 2: Convert to fraction form
    129,257/194,021 = 194,021/x
  3. Step 3: Cross multiply
    129,257x = 194,021 × 194,021
  4. Step 4: Simplify right side
    129,257x = 37,644,148,441
  5. Step 5: Solve for x
    x = 37,644,148,441/129,257
  6. Step 6: Final answer
    x = 291,234.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.