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Finding the Third Proportional to 116,583 and 180,027

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Solution

The third proportional to 116,583 and 180,027 is: 277,996.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,583 : 180,027 = 180,027 : x
  2. Step 2: Convert to fraction form
    116,583/180,027 = 180,027/x
  3. Step 3: Cross multiply
    116,583x = 180,027 × 180,027
  4. Step 4: Simplify right side
    116,583x = 32,409,720,729
  5. Step 5: Solve for x
    x = 32,409,720,729/116,583
  6. Step 6: Final answer
    x = 277,996.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.