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Finding the Third Proportional to 57,764 and 125,974

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Solution

The third proportional to 57,764 and 125,974 is: 274,729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,764 : 125,974 = 125,974 : x
  2. Step 2: Convert to fraction form
    57,764/125,974 = 125,974/x
  3. Step 3: Cross multiply
    57,764x = 125,974 × 125,974
  4. Step 4: Simplify right side
    57,764x = 15,869,448,676
  5. Step 5: Solve for x
    x = 15,869,448,676/57,764
  6. Step 6: Final answer
    x = 274,729.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.