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Finding the Third Proportional to 43,539 and 88,922.81

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Solution

The third proportional to 43,539 and 88,922.81 is: 181,613.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,539 : 88,922.81 = 88,922.81 : x
  2. Step 2: Convert to fraction form
    43,539/88,922.81 = 88,922.81/x
  3. Step 3: Cross multiply
    43,539x = 88,922.81 × 88,922.81
  4. Step 4: Simplify right side
    43,539x = 7,907,266,582.91
  5. Step 5: Solve for x
    x = 7,907,266,582.91/43,539
  6. Step 6: Final answer
    x = 181,613.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.