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Finding the Third Proportional to 85,326 and 114,866

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Solution

The third proportional to 85,326 and 114,866 is: 154,632.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,326 : 114,866 = 114,866 : x
  2. Step 2: Convert to fraction form
    85,326/114,866 = 114,866/x
  3. Step 3: Cross multiply
    85,326x = 114,866 × 114,866
  4. Step 4: Simplify right side
    85,326x = 13,194,197,956
  5. Step 5: Solve for x
    x = 13,194,197,956/85,326
  6. Step 6: Final answer
    x = 154,632.80

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.