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Finding the Third Proportional to 57,514 and 122,480

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Solution

The third proportional to 57,514 and 122,480 is: 260,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,514 : 122,480 = 122,480 : x
  2. Step 2: Convert to fraction form
    57,514/122,480 = 122,480/x
  3. Step 3: Cross multiply
    57,514x = 122,480 × 122,480
  4. Step 4: Simplify right side
    57,514x = 15,001,350,400
  5. Step 5: Solve for x
    x = 15,001,350,400/57,514
  6. Step 6: Final answer
    x = 260,829.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.