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Finding the Third Proportional to 74,016 and 112,866

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Solution

The third proportional to 74,016 and 112,866 is: 172,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,016 : 112,866 = 112,866 : x
  2. Step 2: Convert to fraction form
    74,016/112,866 = 112,866/x
  3. Step 3: Cross multiply
    74,016x = 112,866 × 112,866
  4. Step 4: Simplify right side
    74,016x = 12,738,733,956
  5. Step 5: Solve for x
    x = 12,738,733,956/74,016
  6. Step 6: Final answer
    x = 172,107.84

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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.