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Finding the Third Proportional to 133,848 and 200,772

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Solution

The third proportional to 133,848 and 200,772 is: 301,158

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,848 : 200,772 = 200,772 : x
  2. Step 2: Convert to fraction form
    133,848/200,772 = 200,772/x
  3. Step 3: Cross multiply
    133,848x = 200,772 × 200,772
  4. Step 4: Simplify right side
    133,848x = 40,309,395,984
  5. Step 5: Solve for x
    x = 40,309,395,984/133,848
  6. Step 6: Final answer
    x = 301,158

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.