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Finding the Third Proportional to 125,921 and 270,472

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Solution

The third proportional to 125,921 and 270,472 is: 580,960.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,921 : 270,472 = 270,472 : x
  2. Step 2: Convert to fraction form
    125,921/270,472 = 270,472/x
  3. Step 3: Cross multiply
    125,921x = 270,472 × 270,472
  4. Step 4: Simplify right side
    125,921x = 73,155,102,784
  5. Step 5: Solve for x
    x = 73,155,102,784/125,921
  6. Step 6: Final answer
    x = 580,960.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.