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Finding the Third Proportional to 83,175.61 and 181,743.75

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Solution

The third proportional to 83,175.61 and 181,743.75 is: 397,121.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,175.61 : 181,743.75 = 181,743.75 : x
  2. Step 2: Convert to fraction form
    83,175.61/181,743.75 = 181,743.75/x
  3. Step 3: Cross multiply
    83,175.61x = 181,743.75 × 181,743.75
  4. Step 4: Simplify right side
    83,175.61x = 33,030,790,664.06
  5. Step 5: Solve for x
    x = 33,030,790,664.06/83,175.61
  6. Step 6: Final answer
    x = 397,121.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.