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Finding the Third Proportional to 57,521 and 122,494

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Solution

The third proportional to 57,521 and 122,494 is: 260,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,521 : 122,494 = 122,494 : x
  2. Step 2: Convert to fraction form
    57,521/122,494 = 122,494/x
  3. Step 3: Cross multiply
    57,521x = 122,494 × 122,494
  4. Step 4: Simplify right side
    57,521x = 15,004,780,036
  5. Step 5: Solve for x
    x = 15,004,780,036/57,521
  6. Step 6: Final answer
    x = 260,857.43

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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.