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Finding the Third Proportional to 57,936 and 125,652

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Solution

The third proportional to 57,936 and 125,652 is: 272,514.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,936 : 125,652 = 125,652 : x
  2. Step 2: Convert to fraction form
    57,936/125,652 = 125,652/x
  3. Step 3: Cross multiply
    57,936x = 125,652 × 125,652
  4. Step 4: Simplify right side
    57,936x = 15,788,425,104
  5. Step 5: Solve for x
    x = 15,788,425,104/57,936
  6. Step 6: Final answer
    x = 272,514.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.