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Finding the Third Proportional to 95,673 and 208,569

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Solution

The third proportional to 95,673 and 208,569 is: 454,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,673 : 208,569 = 208,569 : x
  2. Step 2: Convert to fraction form
    95,673/208,569 = 208,569/x
  3. Step 3: Cross multiply
    95,673x = 208,569 × 208,569
  4. Step 4: Simplify right side
    95,673x = 43,501,027,761
  5. Step 5: Solve for x
    x = 43,501,027,761/95,673
  6. Step 6: Final answer
    x = 454,684.47

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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.