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Finding the Third Proportional to 47,170 and 103,250

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Solution

The third proportional to 47,170 and 103,250 is: 226,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,170 : 103,250 = 103,250 : x
  2. Step 2: Convert to fraction form
    47,170/103,250 = 103,250/x
  3. Step 3: Cross multiply
    47,170x = 103,250 × 103,250
  4. Step 4: Simplify right side
    47,170x = 10,660,562,500
  5. Step 5: Solve for x
    x = 10,660,562,500/47,170
  6. Step 6: Final answer
    x = 226,003.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.