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Finding the Third Proportional to 56,469 and 120,866

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Solution

The third proportional to 56,469 and 120,866 is: 258,701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,469 : 120,866 = 120,866 : x
  2. Step 2: Convert to fraction form
    56,469/120,866 = 120,866/x
  3. Step 3: Cross multiply
    56,469x = 120,866 × 120,866
  4. Step 4: Simplify right side
    56,469x = 14,608,589,956
  5. Step 5: Solve for x
    x = 14,608,589,956/56,469
  6. Step 6: Final answer
    x = 258,701.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.