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Finding the Third Proportional to 133,620 and 187,956

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Solution

The third proportional to 133,620 and 187,956 is: 264,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,620 : 187,956 = 187,956 : x
  2. Step 2: Convert to fraction form
    133,620/187,956 = 187,956/x
  3. Step 3: Cross multiply
    133,620x = 187,956 × 187,956
  4. Step 4: Simplify right side
    133,620x = 35,327,457,936
  5. Step 5: Solve for x
    x = 35,327,457,936/133,620
  6. Step 6: Final answer
    x = 264,387.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.