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Finding the Third Proportional to 54,446 and 117,236

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Solution

The third proportional to 54,446 and 117,236 is: 252,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,446 : 117,236 = 117,236 : x
  2. Step 2: Convert to fraction form
    54,446/117,236 = 117,236/x
  3. Step 3: Cross multiply
    54,446x = 117,236 × 117,236
  4. Step 4: Simplify right side
    54,446x = 13,744,279,696
  5. Step 5: Solve for x
    x = 13,744,279,696/54,446
  6. Step 6: Final answer
    x = 252,438.74

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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.