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Finding the Third Proportional to 49,169 and 73,802

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Solution

The third proportional to 49,169 and 73,802 is: 110,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,169 : 73,802 = 73,802 : x
  2. Step 2: Convert to fraction form
    49,169/73,802 = 73,802/x
  3. Step 3: Cross multiply
    49,169x = 73,802 × 73,802
  4. Step 4: Simplify right side
    49,169x = 5,446,735,204
  5. Step 5: Solve for x
    x = 5,446,735,204/49,169
  6. Step 6: Final answer
    x = 110,775.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.