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Finding the Third Proportional to 50,706 and 113,058

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Solution

The third proportional to 50,706 and 113,058 is: 252,082.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,706 : 113,058 = 113,058 : x
  2. Step 2: Convert to fraction form
    50,706/113,058 = 113,058/x
  3. Step 3: Cross multiply
    50,706x = 113,058 × 113,058
  4. Step 4: Simplify right side
    50,706x = 12,782,111,364
  5. Step 5: Solve for x
    x = 12,782,111,364/50,706
  6. Step 6: Final answer
    x = 252,082.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.