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Finding the Third Proportional to 81,418.13 and 176,762.06

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Solution

The third proportional to 81,418.13 and 176,762.06 is: 383,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,418.13 : 176,762.06 = 176,762.06 : x
  2. Step 2: Convert to fraction form
    81,418.13/176,762.06 = 176,762.06/x
  3. Step 3: Cross multiply
    81,418.13x = 176,762.06 × 176,762.06
  4. Step 4: Simplify right side
    81,418.13x = 31,244,826,739.25
  5. Step 5: Solve for x
    x = 31,244,826,739.25/81,418.13
  6. Step 6: Final answer
    x = 383,757.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.