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Finding the Third Proportional to 85,831 and 125,674

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Solution

The third proportional to 85,831 and 125,674 is: 184,012.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,831 : 125,674 = 125,674 : x
  2. Step 2: Convert to fraction form
    85,831/125,674 = 125,674/x
  3. Step 3: Cross multiply
    85,831x = 125,674 × 125,674
  4. Step 4: Simplify right side
    85,831x = 15,793,954,276
  5. Step 5: Solve for x
    x = 15,793,954,276/85,831
  6. Step 6: Final answer
    x = 184,012.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.