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Finding the Third Proportional to 48,174.75 and 101,542.78

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Solution

The third proportional to 48,174.75 and 101,542.78 is: 214,031.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,174.75 : 101,542.78 = 101,542.78 : x
  2. Step 2: Convert to fraction form
    48,174.75/101,542.78 = 101,542.78/x
  3. Step 3: Cross multiply
    48,174.75x = 101,542.78 × 101,542.78
  4. Step 4: Simplify right side
    48,174.75x = 10,310,936,423.99
  5. Step 5: Solve for x
    x = 10,310,936,423.99/48,174.75
  6. Step 6: Final answer
    x = 214,031.97

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.