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Finding the Third Proportional to 59,678 and 125,500

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Solution

The third proportional to 59,678 and 125,500 is: 263,920.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,678 : 125,500 = 125,500 : x
  2. Step 2: Convert to fraction form
    59,678/125,500 = 125,500/x
  3. Step 3: Cross multiply
    59,678x = 125,500 × 125,500
  4. Step 4: Simplify right side
    59,678x = 15,750,250,000
  5. Step 5: Solve for x
    x = 15,750,250,000/59,678
  6. Step 6: Final answer
    x = 263,920.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.