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Finding the Third Proportional to 95,560 and 223,148

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Solution

The third proportional to 95,560 and 223,148 is: 521,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,560 : 223,148 = 223,148 : x
  2. Step 2: Convert to fraction form
    95,560/223,148 = 223,148/x
  3. Step 3: Cross multiply
    95,560x = 223,148 × 223,148
  4. Step 4: Simplify right side
    95,560x = 49,795,029,904
  5. Step 5: Solve for x
    x = 49,795,029,904/95,560
  6. Step 6: Final answer
    x = 521,086.54

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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.