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Finding the Third Proportional to 74,296 and 144,866

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Solution

The third proportional to 74,296 and 144,866 is: 282,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,296 : 144,866 = 144,866 : x
  2. Step 2: Convert to fraction form
    74,296/144,866 = 144,866/x
  3. Step 3: Cross multiply
    74,296x = 144,866 × 144,866
  4. Step 4: Simplify right side
    74,296x = 20,986,157,956
  5. Step 5: Solve for x
    x = 20,986,157,956/74,296
  6. Step 6: Final answer
    x = 282,466.86

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.