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Finding the Third Proportional to 82,733.91 and 178,589.81

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Solution

The third proportional to 82,733.91 and 178,589.81 is: 385,504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,733.91 : 178,589.81 = 178,589.81 : x
  2. Step 2: Convert to fraction form
    82,733.91/178,589.81 = 178,589.81/x
  3. Step 3: Cross multiply
    82,733.91x = 178,589.81 × 178,589.81
  4. Step 4: Simplify right side
    82,733.91x = 31,894,321,128.79
  5. Step 5: Solve for x
    x = 31,894,321,128.79/82,733.91
  6. Step 6: Final answer
    x = 385,504.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.