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Finding the Third Proportional to 57,448 and 125,912

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Solution

The third proportional to 57,448 and 125,912 is: 275,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,448 : 125,912 = 125,912 : x
  2. Step 2: Convert to fraction form
    57,448/125,912 = 125,912/x
  3. Step 3: Cross multiply
    57,448x = 125,912 × 125,912
  4. Step 4: Simplify right side
    57,448x = 15,853,831,744
  5. Step 5: Solve for x
    x = 15,853,831,744/57,448
  6. Step 6: Final answer
    x = 275,968.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.