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Finding the Third Proportional to 95,456 and 208,672

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Solution

The third proportional to 95,456 and 208,672 is: 456,168.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,456 : 208,672 = 208,672 : x
  2. Step 2: Convert to fraction form
    95,456/208,672 = 208,672/x
  3. Step 3: Cross multiply
    95,456x = 208,672 × 208,672
  4. Step 4: Simplify right side
    95,456x = 43,544,003,584
  5. Step 5: Solve for x
    x = 43,544,003,584/95,456
  6. Step 6: Final answer
    x = 456,168.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.