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Finding the Third Proportional to 54,328 and 85,866

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Solution

The third proportional to 54,328 and 85,866 is: 135,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,328 : 85,866 = 85,866 : x
  2. Step 2: Convert to fraction form
    54,328/85,866 = 85,866/x
  3. Step 3: Cross multiply
    54,328x = 85,866 × 85,866
  4. Step 4: Simplify right side
    54,328x = 7,372,969,956
  5. Step 5: Solve for x
    x = 7,372,969,956/54,328
  6. Step 6: Final answer
    x = 135,712.15

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.