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Finding the Third Proportional to 57,578 and 124,992

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Solution

The third proportional to 57,578 and 124,992 is: 271,336.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,578 : 124,992 = 124,992 : x
  2. Step 2: Convert to fraction form
    57,578/124,992 = 124,992/x
  3. Step 3: Cross multiply
    57,578x = 124,992 × 124,992
  4. Step 4: Simplify right side
    57,578x = 15,623,000,064
  5. Step 5: Solve for x
    x = 15,623,000,064/57,578
  6. Step 6: Final answer
    x = 271,336.28

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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.