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Finding the Third Proportional to 139,224 and 224,172

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Solution

The third proportional to 139,224 and 224,172 is: 360,951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,224 : 224,172 = 224,172 : x
  2. Step 2: Convert to fraction form
    139,224/224,172 = 224,172/x
  3. Step 3: Cross multiply
    139,224x = 224,172 × 224,172
  4. Step 4: Simplify right side
    139,224x = 50,253,085,584
  5. Step 5: Solve for x
    x = 50,253,085,584/139,224
  6. Step 6: Final answer
    x = 360,951.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.