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Finding the Third Proportional to 55,046 and 117,866

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Solution

The third proportional to 55,046 and 117,866 is: 252,377.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,046 : 117,866 = 117,866 : x
  2. Step 2: Convert to fraction form
    55,046/117,866 = 117,866/x
  3. Step 3: Cross multiply
    55,046x = 117,866 × 117,866
  4. Step 4: Simplify right side
    55,046x = 13,892,393,956
  5. Step 5: Solve for x
    x = 13,892,393,956/55,046
  6. Step 6: Final answer
    x = 252,377.90

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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.