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Finding the Third Proportional to 116,694 and 181,041

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Solution

The third proportional to 116,694 and 181,041 is: 280,870.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,694 : 181,041 = 181,041 : x
  2. Step 2: Convert to fraction form
    116,694/181,041 = 181,041/x
  3. Step 3: Cross multiply
    116,694x = 181,041 × 181,041
  4. Step 4: Simplify right side
    116,694x = 32,775,843,681
  5. Step 5: Solve for x
    x = 32,775,843,681/116,694
  6. Step 6: Final answer
    x = 280,870.00

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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.