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Finding the Third Proportional to 53,831 and 125,735

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Solution

The third proportional to 53,831 and 125,735 is: 293,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,831 : 125,735 = 125,735 : x
  2. Step 2: Convert to fraction form
    53,831/125,735 = 125,735/x
  3. Step 3: Cross multiply
    53,831x = 125,735 × 125,735
  4. Step 4: Simplify right side
    53,831x = 15,809,290,225
  5. Step 5: Solve for x
    x = 15,809,290,225/53,831
  6. Step 6: Final answer
    x = 293,683.76

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.