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Finding the Third Proportional to 102,124 and 224,406

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Solution

The third proportional to 102,124 and 224,406 is: 493,106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,124 : 224,406 = 224,406 : x
  2. Step 2: Convert to fraction form
    102,124/224,406 = 224,406/x
  3. Step 3: Cross multiply
    102,124x = 224,406 × 224,406
  4. Step 4: Simplify right side
    102,124x = 50,358,052,836
  5. Step 5: Solve for x
    x = 50,358,052,836/102,124
  6. Step 6: Final answer
    x = 493,106.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.