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Finding the Third Proportional to 125,900 and 270,512

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Solution

The third proportional to 125,900 and 270,512 is: 581,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,900 : 270,512 = 270,512 : x
  2. Step 2: Convert to fraction form
    125,900/270,512 = 270,512/x
  3. Step 3: Cross multiply
    125,900x = 270,512 × 270,512
  4. Step 4: Simplify right side
    125,900x = 73,176,742,144
  5. Step 5: Solve for x
    x = 73,176,742,144/125,900
  6. Step 6: Final answer
    x = 581,229.09

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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.