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Finding the Third Proportional to 95,696 and 223,520

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Solution

The third proportional to 95,696 and 223,520 is: 522,082.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,696 : 223,520 = 223,520 : x
  2. Step 2: Convert to fraction form
    95,696/223,520 = 223,520/x
  3. Step 3: Cross multiply
    95,696x = 223,520 × 223,520
  4. Step 4: Simplify right side
    95,696x = 49,961,190,400
  5. Step 5: Solve for x
    x = 49,961,190,400/95,696
  6. Step 6: Final answer
    x = 522,082.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.