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Finding the Third Proportional to 74,753 and 115,866

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Solution

The third proportional to 74,753 and 115,866 is: 179,590.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,753 : 115,866 = 115,866 : x
  2. Step 2: Convert to fraction form
    74,753/115,866 = 115,866/x
  3. Step 3: Cross multiply
    74,753x = 115,866 × 115,866
  4. Step 4: Simplify right side
    74,753x = 13,424,929,956
  5. Step 5: Solve for x
    x = 13,424,929,956/74,753
  6. Step 6: Final answer
    x = 179,590.52

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.