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Finding the Third Proportional to 57,760 and 125,600

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Solution

The third proportional to 57,760 and 125,600 is: 273,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,760 : 125,600 = 125,600 : x
  2. Step 2: Convert to fraction form
    57,760/125,600 = 125,600/x
  3. Step 3: Cross multiply
    57,760x = 125,600 × 125,600
  4. Step 4: Simplify right side
    57,760x = 15,775,360,000
  5. Step 5: Solve for x
    x = 15,775,360,000/57,760
  6. Step 6: Final answer
    x = 273,119.11

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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.