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Finding the Third Proportional to 106,016 and 224,672

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Solution

The third proportional to 106,016 and 224,672 is: 476,131.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,016 : 224,672 = 224,672 : x
  2. Step 2: Convert to fraction form
    106,016/224,672 = 224,672/x
  3. Step 3: Cross multiply
    106,016x = 224,672 × 224,672
  4. Step 4: Simplify right side
    106,016x = 50,477,507,584
  5. Step 5: Solve for x
    x = 50,477,507,584/106,016
  6. Step 6: Final answer
    x = 476,131.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.