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Finding the Third Proportional to 95,906 and 208,972

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Solution

The third proportional to 95,906 and 208,972 is: 455,334.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,906 : 208,972 = 208,972 : x
  2. Step 2: Convert to fraction form
    95,906/208,972 = 208,972/x
  3. Step 3: Cross multiply
    95,906x = 208,972 × 208,972
  4. Step 4: Simplify right side
    95,906x = 43,669,296,784
  5. Step 5: Solve for x
    x = 43,669,296,784/95,906
  6. Step 6: Final answer
    x = 455,334.36

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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.