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Finding the Third Proportional to 126,248 and 196,380

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Solution

The third proportional to 126,248 and 196,380 is: 305,471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,248 : 196,380 = 196,380 : x
  2. Step 2: Convert to fraction form
    126,248/196,380 = 196,380/x
  3. Step 3: Cross multiply
    126,248x = 196,380 × 196,380
  4. Step 4: Simplify right side
    126,248x = 38,565,104,400
  5. Step 5: Solve for x
    x = 38,565,104,400/126,248
  6. Step 6: Final answer
    x = 305,471.01

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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.