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Finding the Third Proportional to 47,769.75 and 103,755.94

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Solution

The third proportional to 47,769.75 and 103,755.94 is: 225,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,769.75 : 103,755.94 = 103,755.94 : x
  2. Step 2: Convert to fraction form
    47,769.75/103,755.94 = 103,755.94/x
  3. Step 3: Cross multiply
    47,769.75x = 103,755.94 × 103,755.94
  4. Step 4: Simplify right side
    47,769.75x = 10,765,294,566.50
  5. Step 5: Solve for x
    x = 10,765,294,566.50/47,769.75
  6. Step 6: Final answer
    x = 225,357.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.