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Finding the Third Proportional to 95,904 and 224,001

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Solution

The third proportional to 95,904 and 224,001 is: 523,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,904 : 224,001 = 224,001 : x
  2. Step 2: Convert to fraction form
    95,904/224,001 = 224,001/x
  3. Step 3: Cross multiply
    95,904x = 224,001 × 224,001
  4. Step 4: Simplify right side
    95,904x = 50,176,448,001
  5. Step 5: Solve for x
    x = 50,176,448,001/95,904
  6. Step 6: Final answer
    x = 523,194.53

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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.