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Finding the Third Proportional to 80,541 and 181,962

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Solution

The third proportional to 80,541 and 181,962 is: 411,097.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,541 : 181,962 = 181,962 : x
  2. Step 2: Convert to fraction form
    80,541/181,962 = 181,962/x
  3. Step 3: Cross multiply
    80,541x = 181,962 × 181,962
  4. Step 4: Simplify right side
    80,541x = 33,110,169,444
  5. Step 5: Solve for x
    x = 33,110,169,444/80,541
  6. Step 6: Final answer
    x = 411,097.07

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.