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Finding the Third Proportional to 74,886 and 113,866

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Solution

The third proportional to 74,886 and 113,866 is: 173,136.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,886 : 113,866 = 113,866 : x
  2. Step 2: Convert to fraction form
    74,886/113,866 = 113,866/x
  3. Step 3: Cross multiply
    74,886x = 113,866 × 113,866
  4. Step 4: Simplify right side
    74,886x = 12,965,465,956
  5. Step 5: Solve for x
    x = 12,965,465,956/74,886
  6. Step 6: Final answer
    x = 173,136.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.