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Finding the Third Proportional to 119,586 and 253,749

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Solution

The third proportional to 119,586 and 253,749 is: 538,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,586 : 253,749 = 253,749 : x
  2. Step 2: Convert to fraction form
    119,586/253,749 = 253,749/x
  3. Step 3: Cross multiply
    119,586x = 253,749 × 253,749
  4. Step 4: Simplify right side
    119,586x = 64,388,555,001
  5. Step 5: Solve for x
    x = 64,388,555,001/119,586
  6. Step 6: Final answer
    x = 538,428.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.