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Finding the Third Proportional to 57,588 and 125,012

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Solution

The third proportional to 57,588 and 125,012 is: 271,375.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,588 : 125,012 = 125,012 : x
  2. Step 2: Convert to fraction form
    57,588/125,012 = 125,012/x
  3. Step 3: Cross multiply
    57,588x = 125,012 × 125,012
  4. Step 4: Simplify right side
    57,588x = 15,628,000,144
  5. Step 5: Solve for x
    x = 15,628,000,144/57,588
  6. Step 6: Final answer
    x = 271,375.98

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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.