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Finding the Third Proportional to 95,546 and 223,115

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Solution

The third proportional to 95,546 and 223,115 is: 521,008.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,546 : 223,115 = 223,115 : x
  2. Step 2: Convert to fraction form
    95,546/223,115 = 223,115/x
  3. Step 3: Cross multiply
    95,546x = 223,115 × 223,115
  4. Step 4: Simplify right side
    95,546x = 49,780,303,225
  5. Step 5: Solve for x
    x = 49,780,303,225/95,546
  6. Step 6: Final answer
    x = 521,008.76

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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.