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Finding the Third Proportional to 53,974 and 81,716

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Solution

The third proportional to 53,974 and 81,716 is: 123,717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,974 : 81,716 = 81,716 : x
  2. Step 2: Convert to fraction form
    53,974/81,716 = 81,716/x
  3. Step 3: Cross multiply
    53,974x = 81,716 × 81,716
  4. Step 4: Simplify right side
    53,974x = 6,677,504,656
  5. Step 5: Solve for x
    x = 6,677,504,656/53,974
  6. Step 6: Final answer
    x = 123,717.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.