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Finding the Third Proportional to 95,908 and 208,124

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Solution

The third proportional to 95,908 and 208,124 is: 451,636.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,908 : 208,124 = 208,124 : x
  2. Step 2: Convert to fraction form
    95,908/208,124 = 208,124/x
  3. Step 3: Cross multiply
    95,908x = 208,124 × 208,124
  4. Step 4: Simplify right side
    95,908x = 43,315,599,376
  5. Step 5: Solve for x
    x = 43,315,599,376/95,908
  6. Step 6: Final answer
    x = 451,636.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.