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Finding the Third Proportional to 57,058 and 83,474

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Solution

The third proportional to 57,058 and 83,474 is: 122,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,058 : 83,474 = 83,474 : x
  2. Step 2: Convert to fraction form
    57,058/83,474 = 83,474/x
  3. Step 3: Cross multiply
    57,058x = 83,474 × 83,474
  4. Step 4: Simplify right side
    57,058x = 6,967,908,676
  5. Step 5: Solve for x
    x = 6,967,908,676/57,058
  6. Step 6: Final answer
    x = 122,119.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.