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Finding the Third Proportional to 95,670 and 208,562

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Solution

The third proportional to 95,670 and 208,562 is: 454,668.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,670 : 208,562 = 208,562 : x
  2. Step 2: Convert to fraction form
    95,670/208,562 = 208,562/x
  3. Step 3: Cross multiply
    95,670x = 208,562 × 208,562
  4. Step 4: Simplify right side
    95,670x = 43,498,107,844
  5. Step 5: Solve for x
    x = 43,498,107,844/95,670
  6. Step 6: Final answer
    x = 454,668.21

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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.