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Finding the Third Proportional to 116,654 and 180,975

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Solution

The third proportional to 116,654 and 180,975 is: 280,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,654 : 180,975 = 180,975 : x
  2. Step 2: Convert to fraction form
    116,654/180,975 = 180,975/x
  3. Step 3: Cross multiply
    116,654x = 180,975 × 180,975
  4. Step 4: Simplify right side
    116,654x = 32,751,950,625
  5. Step 5: Solve for x
    x = 32,751,950,625/116,654
  6. Step 6: Final answer
    x = 280,761.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.