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Finding the Third Proportional to 113,676.75 and 158,057.25

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Solution

The third proportional to 113,676.75 and 158,057.25 is: 219,764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,676.75 : 158,057.25 = 158,057.25 : x
  2. Step 2: Convert to fraction form
    113,676.75/158,057.25 = 158,057.25/x
  3. Step 3: Cross multiply
    113,676.75x = 158,057.25 × 158,057.25
  4. Step 4: Simplify right side
    113,676.75x = 24,982,094,277.56
  5. Step 5: Solve for x
    x = 24,982,094,277.56/113,676.75
  6. Step 6: Final answer
    x = 219,764.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.