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Finding the Third Proportional to 126,426 and 190,439

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Solution

The third proportional to 126,426 and 190,439 is: 286,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,426 : 190,439 = 190,439 : x
  2. Step 2: Convert to fraction form
    126,426/190,439 = 190,439/x
  3. Step 3: Cross multiply
    126,426x = 190,439 × 190,439
  4. Step 4: Simplify right side
    126,426x = 36,267,012,721
  5. Step 5: Solve for x
    x = 36,267,012,721/126,426
  6. Step 6: Final answer
    x = 286,863.56

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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.