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Finding the Third Proportional to 53,195 and 80,898

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Solution

The third proportional to 53,195 and 80,898 is: 123,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,195 : 80,898 = 80,898 : x
  2. Step 2: Convert to fraction form
    53,195/80,898 = 80,898/x
  3. Step 3: Cross multiply
    53,195x = 80,898 × 80,898
  4. Step 4: Simplify right side
    53,195x = 6,544,486,404
  5. Step 5: Solve for x
    x = 6,544,486,404/53,195
  6. Step 6: Final answer
    x = 123,028.22

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.