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Finding the Third Proportional to 94,941 and 224,116

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Solution

The third proportional to 94,941 and 224,116 is: 529,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,941 : 224,116 = 224,116 : x
  2. Step 2: Convert to fraction form
    94,941/224,116 = 224,116/x
  3. Step 3: Cross multiply
    94,941x = 224,116 × 224,116
  4. Step 4: Simplify right side
    94,941x = 50,227,981,456
  5. Step 5: Solve for x
    x = 50,227,981,456/94,941
  6. Step 6: Final answer
    x = 529,044.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.