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Finding the Third Proportional to 53,974 and 84,493

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Solution

The third proportional to 53,974 and 84,493 is: 132,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,974 : 84,493 = 84,493 : x
  2. Step 2: Convert to fraction form
    53,974/84,493 = 84,493/x
  3. Step 3: Cross multiply
    53,974x = 84,493 × 84,493
  4. Step 4: Simplify right side
    53,974x = 7,139,067,049
  5. Step 5: Solve for x
    x = 7,139,067,049/53,974
  6. Step 6: Final answer
    x = 132,268.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.