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Finding the Third Proportional to 49,189 and 108,715

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Solution

The third proportional to 49,189 and 108,715 is: 240,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,189 : 108,715 = 108,715 : x
  2. Step 2: Convert to fraction form
    49,189/108,715 = 108,715/x
  3. Step 3: Cross multiply
    49,189x = 108,715 × 108,715
  4. Step 4: Simplify right side
    49,189x = 11,818,951,225
  5. Step 5: Solve for x
    x = 11,818,951,225/49,189
  6. Step 6: Final answer
    x = 240,276.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.