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Finding the Third Proportional to 57,907 and 125,777

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Solution

The third proportional to 57,907 and 125,777 is: 273,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,907 : 125,777 = 125,777 : x
  2. Step 2: Convert to fraction form
    57,907/125,777 = 125,777/x
  3. Step 3: Cross multiply
    57,907x = 125,777 × 125,777
  4. Step 4: Simplify right side
    57,907x = 15,819,853,729
  5. Step 5: Solve for x
    x = 15,819,853,729/57,907
  6. Step 6: Final answer
    x = 273,194.15

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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.