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Finding the Third Proportional to 102,121 and 224,399

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Solution

The third proportional to 102,121 and 224,399 is: 493,090.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,121 : 224,399 = 224,399 : x
  2. Step 2: Convert to fraction form
    102,121/224,399 = 224,399/x
  3. Step 3: Cross multiply
    102,121x = 224,399 × 224,399
  4. Step 4: Simplify right side
    102,121x = 50,354,911,201
  5. Step 5: Solve for x
    x = 50,354,911,201/102,121
  6. Step 6: Final answer
    x = 493,090.66

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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.