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Finding the Third Proportional to 49,593 and 109,014

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Solution

The third proportional to 49,593 and 109,014 is: 239,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,593 : 109,014 = 109,014 : x
  2. Step 2: Convert to fraction form
    49,593/109,014 = 109,014/x
  3. Step 3: Cross multiply
    49,593x = 109,014 × 109,014
  4. Step 4: Simplify right side
    49,593x = 11,884,052,196
  5. Step 5: Solve for x
    x = 11,884,052,196/49,593
  6. Step 6: Final answer
    x = 239,631.65

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.