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Finding the Third Proportional to 57,114 and 122,980

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Solution

The third proportional to 57,114 and 122,980 is: 264,805.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,114 : 122,980 = 122,980 : x
  2. Step 2: Convert to fraction form
    57,114/122,980 = 122,980/x
  3. Step 3: Cross multiply
    57,114x = 122,980 × 122,980
  4. Step 4: Simplify right side
    57,114x = 15,124,080,400
  5. Step 5: Solve for x
    x = 15,124,080,400/57,114
  6. Step 6: Final answer
    x = 264,805.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.