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Finding the Third Proportional to 126,424 and 190,436

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Solution

The third proportional to 126,424 and 190,436 is: 286,859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,424 : 190,436 = 190,436 : x
  2. Step 2: Convert to fraction form
    126,424/190,436 = 190,436/x
  3. Step 3: Cross multiply
    126,424x = 190,436 × 190,436
  4. Step 4: Simplify right side
    126,424x = 36,265,870,096
  5. Step 5: Solve for x
    x = 36,265,870,096/126,424
  6. Step 6: Final answer
    x = 286,859.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.