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Finding the Third Proportional to 95,928 and 224,057

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Solution

The third proportional to 95,928 and 224,057 is: 523,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,928 : 224,057 = 224,057 : x
  2. Step 2: Convert to fraction form
    95,928/224,057 = 224,057/x
  3. Step 3: Cross multiply
    95,928x = 224,057 × 224,057
  4. Step 4: Simplify right side
    95,928x = 50,201,539,249
  5. Step 5: Solve for x
    x = 50,201,539,249/95,928
  6. Step 6: Final answer
    x = 523,325.19

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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.