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Finding the Third Proportional to 55,446 and 119,195

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Solution

The third proportional to 55,446 and 119,195 is: 256,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,446 : 119,195 = 119,195 : x
  2. Step 2: Convert to fraction form
    55,446/119,195 = 119,195/x
  3. Step 3: Cross multiply
    55,446x = 119,195 × 119,195
  4. Step 4: Simplify right side
    55,446x = 14,207,448,025
  5. Step 5: Solve for x
    x = 14,207,448,025/55,446
  6. Step 6: Final answer
    x = 256,239.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.