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Finding the Third Proportional to 57,497 and 126,064

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Solution

The third proportional to 57,497 and 126,064 is: 276,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,497 : 126,064 = 126,064 : x
  2. Step 2: Convert to fraction form
    57,497/126,064 = 126,064/x
  3. Step 3: Cross multiply
    57,497x = 126,064 × 126,064
  4. Step 4: Simplify right side
    57,497x = 15,892,132,096
  5. Step 5: Solve for x
    x = 15,892,132,096/57,497
  6. Step 6: Final answer
    x = 276,399.33

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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.