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Finding the Third Proportional to 125,848 and 279,668

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Solution

The third proportional to 125,848 and 279,668 is: 621,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,848 : 279,668 = 279,668 : x
  2. Step 2: Convert to fraction form
    125,848/279,668 = 279,668/x
  3. Step 3: Cross multiply
    125,848x = 279,668 × 279,668
  4. Step 4: Simplify right side
    125,848x = 78,214,190,224
  5. Step 5: Solve for x
    x = 78,214,190,224/125,848
  6. Step 6: Final answer
    x = 621,497.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.