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Finding the Third Proportional to 133,583 and 186,766

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Solution

The third proportional to 133,583 and 186,766 is: 261,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,583 : 186,766 = 186,766 : x
  2. Step 2: Convert to fraction form
    133,583/186,766 = 186,766/x
  3. Step 3: Cross multiply
    133,583x = 186,766 × 186,766
  4. Step 4: Simplify right side
    133,583x = 34,881,538,756
  5. Step 5: Solve for x
    x = 34,881,538,756/133,583
  6. Step 6: Final answer
    x = 261,122.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.