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Finding the Third Proportional to 57,444 and 121,512

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Solution

The third proportional to 57,444 and 121,512 is: 257,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,444 : 121,512 = 121,512 : x
  2. Step 2: Convert to fraction form
    57,444/121,512 = 121,512/x
  3. Step 3: Cross multiply
    57,444x = 121,512 × 121,512
  4. Step 4: Simplify right side
    57,444x = 14,765,166,144
  5. Step 5: Solve for x
    x = 14,765,166,144/57,444
  6. Step 6: Final answer
    x = 257,035.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.