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Finding the Third Proportional to 57,886 and 125,242

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Solution

The third proportional to 57,886 and 125,242 is: 270,973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,886 : 125,242 = 125,242 : x
  2. Step 2: Convert to fraction form
    57,886/125,242 = 125,242/x
  3. Step 3: Cross multiply
    57,886x = 125,242 × 125,242
  4. Step 4: Simplify right side
    57,886x = 15,685,558,564
  5. Step 5: Solve for x
    x = 15,685,558,564/57,886
  6. Step 6: Final answer
    x = 270,973.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.