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Finding the Third Proportional to 133,019 and 179,467

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Solution

The third proportional to 133,019 and 179,467 is: 242,133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,019 : 179,467 = 179,467 : x
  2. Step 2: Convert to fraction form
    133,019/179,467 = 179,467/x
  3. Step 3: Cross multiply
    133,019x = 179,467 × 179,467
  4. Step 4: Simplify right side
    133,019x = 32,208,404,089
  5. Step 5: Solve for x
    x = 32,208,404,089/133,019
  6. Step 6: Final answer
    x = 242,133.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.