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Finding the Third Proportional to 57,514 and 124,100

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Solution

The third proportional to 57,514 and 124,100 is: 267,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,514 : 124,100 = 124,100 : x
  2. Step 2: Convert to fraction form
    57,514/124,100 = 124,100/x
  3. Step 3: Cross multiply
    57,514x = 124,100 × 124,100
  4. Step 4: Simplify right side
    57,514x = 15,400,810,000
  5. Step 5: Solve for x
    x = 15,400,810,000/57,514
  6. Step 6: Final answer
    x = 267,774.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.