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Finding the Third Proportional to 125,906 and 270,524

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Solution

The third proportional to 125,906 and 270,524 is: 581,252.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,906 : 270,524 = 270,524 : x
  2. Step 2: Convert to fraction form
    125,906/270,524 = 270,524/x
  3. Step 3: Cross multiply
    125,906x = 270,524 × 270,524
  4. Step 4: Simplify right side
    125,906x = 73,183,234,576
  5. Step 5: Solve for x
    x = 73,183,234,576/125,906
  6. Step 6: Final answer
    x = 581,252.96

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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.