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Finding the Third Proportional to 47,514.75 and 102,049.50

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Solution

The third proportional to 47,514.75 and 102,049.50 is: 219,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,514.75 : 102,049.50 = 102,049.50 : x
  2. Step 2: Convert to fraction form
    47,514.75/102,049.50 = 102,049.50/x
  3. Step 3: Cross multiply
    47,514.75x = 102,049.50 × 102,049.50
  4. Step 4: Simplify right side
    47,514.75x = 10,414,100,450.25
  5. Step 5: Solve for x
    x = 10,414,100,450.25/47,514.75
  6. Step 6: Final answer
    x = 219,176.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.