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Finding the Third Proportional to 57,206 and 120,296

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Solution

The third proportional to 57,206 and 120,296 is: 252,965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,206 : 120,296 = 120,296 : x
  2. Step 2: Convert to fraction form
    57,206/120,296 = 120,296/x
  3. Step 3: Cross multiply
    57,206x = 120,296 × 120,296
  4. Step 4: Simplify right side
    57,206x = 14,471,127,616
  5. Step 5: Solve for x
    x = 14,471,127,616/57,206
  6. Step 6: Final answer
    x = 252,965.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.