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Finding the Third Proportional to 50,594 and 110,866

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Solution

The third proportional to 50,594 and 110,866 is: 242,939.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,594 : 110,866 = 110,866 : x
  2. Step 2: Convert to fraction form
    50,594/110,866 = 110,866/x
  3. Step 3: Cross multiply
    50,594x = 110,866 × 110,866
  4. Step 4: Simplify right side
    50,594x = 12,291,269,956
  5. Step 5: Solve for x
    x = 12,291,269,956/50,594
  6. Step 6: Final answer
    x = 242,939.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.