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Finding the Third Proportional to 76,452 and 116,874

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Solution

The third proportional to 76,452 and 116,874 is: 178,668.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,452 : 116,874 = 116,874 : x
  2. Step 2: Convert to fraction form
    76,452/116,874 = 116,874/x
  3. Step 3: Cross multiply
    76,452x = 116,874 × 116,874
  4. Step 4: Simplify right side
    76,452x = 13,659,531,876
  5. Step 5: Solve for x
    x = 13,659,531,876/76,452
  6. Step 6: Final answer
    x = 178,668.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.