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Finding the Third Proportional to 49,370 and 107,500

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Solution

The third proportional to 49,370 and 107,500 is: 234,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,370 : 107,500 = 107,500 : x
  2. Step 2: Convert to fraction form
    49,370/107,500 = 107,500/x
  3. Step 3: Cross multiply
    49,370x = 107,500 × 107,500
  4. Step 4: Simplify right side
    49,370x = 11,556,250,000
  5. Step 5: Solve for x
    x = 11,556,250,000/49,370
  6. Step 6: Final answer
    x = 234,074.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.