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Finding the Third Proportional to 49,910 and 73,003

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Solution

The third proportional to 49,910 and 73,003 is: 106,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,910 : 73,003 = 73,003 : x
  2. Step 2: Convert to fraction form
    49,910/73,003 = 73,003/x
  3. Step 3: Cross multiply
    49,910x = 73,003 × 73,003
  4. Step 4: Simplify right side
    49,910x = 5,329,438,009
  5. Step 5: Solve for x
    x = 5,329,438,009/49,910
  6. Step 6: Final answer
    x = 106,780.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.