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Finding the Third Proportional to 127,849 and 195,668

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Solution

The third proportional to 127,849 and 195,668 is: 299,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,849 : 195,668 = 195,668 : x
  2. Step 2: Convert to fraction form
    127,849/195,668 = 195,668/x
  3. Step 3: Cross multiply
    127,849x = 195,668 × 195,668
  4. Step 4: Simplify right side
    127,849x = 38,285,966,224
  5. Step 5: Solve for x
    x = 38,285,966,224/127,849
  6. Step 6: Final answer
    x = 299,462.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.