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Finding the Third Proportional to 81,022 and 116,715

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Solution

The third proportional to 81,022 and 116,715 is: 168,132.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,022 : 116,715 = 116,715 : x
  2. Step 2: Convert to fraction form
    81,022/116,715 = 116,715/x
  3. Step 3: Cross multiply
    81,022x = 116,715 × 116,715
  4. Step 4: Simplify right side
    81,022x = 13,622,391,225
  5. Step 5: Solve for x
    x = 13,622,391,225/81,022
  6. Step 6: Final answer
    x = 168,132.00

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.