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Finding the Third Proportional to 80,274 and 125,007

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Solution

The third proportional to 80,274 and 125,007 is: 194,667.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,274 : 125,007 = 125,007 : x
  2. Step 2: Convert to fraction form
    80,274/125,007 = 125,007/x
  3. Step 3: Cross multiply
    80,274x = 125,007 × 125,007
  4. Step 4: Simplify right side
    80,274x = 15,626,750,049
  5. Step 5: Solve for x
    x = 15,626,750,049/80,274
  6. Step 6: Final answer
    x = 194,667.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.