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Finding the Third Proportional to 133,542 and 270,772

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Solution

The third proportional to 133,542 and 270,772 is: 549,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,542 : 270,772 = 270,772 : x
  2. Step 2: Convert to fraction form
    133,542/270,772 = 270,772/x
  3. Step 3: Cross multiply
    133,542x = 270,772 × 270,772
  4. Step 4: Simplify right side
    133,542x = 73,317,475,984
  5. Step 5: Solve for x
    x = 73,317,475,984/133,542
  6. Step 6: Final answer
    x = 549,021.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.