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Finding the Third Proportional to 125,361 and 194,196

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Solution

The third proportional to 125,361 and 194,196 is: 300,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,361 : 194,196 = 194,196 : x
  2. Step 2: Convert to fraction form
    125,361/194,196 = 194,196/x
  3. Step 3: Cross multiply
    125,361x = 194,196 × 194,196
  4. Step 4: Simplify right side
    125,361x = 37,712,086,416
  5. Step 5: Solve for x
    x = 37,712,086,416/125,361
  6. Step 6: Final answer
    x = 300,827.90

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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.