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Finding the Third Proportional to 95,724 and 208,668

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Solution

The third proportional to 95,724 and 208,668 is: 454,873.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,724 : 208,668 = 208,668 : x
  2. Step 2: Convert to fraction form
    95,724/208,668 = 208,668/x
  3. Step 3: Cross multiply
    95,724x = 208,668 × 208,668
  4. Step 4: Simplify right side
    95,724x = 43,542,334,224
  5. Step 5: Solve for x
    x = 43,542,334,224/95,724
  6. Step 6: Final answer
    x = 454,873.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.