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Finding the Third Proportional to 55,500 and 119,866

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Solution

The third proportional to 55,500 and 119,866 is: 258,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,500 : 119,866 = 119,866 : x
  2. Step 2: Convert to fraction form
    55,500/119,866 = 119,866/x
  3. Step 3: Cross multiply
    55,500x = 119,866 × 119,866
  4. Step 4: Simplify right side
    55,500x = 14,367,857,956
  5. Step 5: Solve for x
    x = 14,367,857,956/55,500
  6. Step 6: Final answer
    x = 258,880.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.