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Finding the Third Proportional to 95,786 and 208,152

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Solution

The third proportional to 95,786 and 208,152 is: 452,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,786 : 208,152 = 208,152 : x
  2. Step 2: Convert to fraction form
    95,786/208,152 = 208,152/x
  3. Step 3: Cross multiply
    95,786x = 208,152 × 208,152
  4. Step 4: Simplify right side
    95,786x = 43,327,255,104
  5. Step 5: Solve for x
    x = 43,327,255,104/95,786
  6. Step 6: Final answer
    x = 452,333.90

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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.