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Finding the Third Proportional to 95,186 and 225,501

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Solution

The third proportional to 95,186 and 225,501 is: 534,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,186 : 225,501 = 225,501 : x
  2. Step 2: Convert to fraction form
    95,186/225,501 = 225,501/x
  3. Step 3: Cross multiply
    95,186x = 225,501 × 225,501
  4. Step 4: Simplify right side
    95,186x = 50,850,701,001
  5. Step 5: Solve for x
    x = 50,850,701,001/95,186
  6. Step 6: Final answer
    x = 534,224.58

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.