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Finding the Third Proportional to 138,045 and 194,349

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Solution

The third proportional to 138,045 and 194,349 is: 273,617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,045 : 194,349 = 194,349 : x
  2. Step 2: Convert to fraction form
    138,045/194,349 = 194,349/x
  3. Step 3: Cross multiply
    138,045x = 194,349 × 194,349
  4. Step 4: Simplify right side
    138,045x = 37,771,533,801
  5. Step 5: Solve for x
    x = 37,771,533,801/138,045
  6. Step 6: Final answer
    x = 273,617.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.