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Finding the Third Proportional to 80,536 and 181,952

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Solution

The third proportional to 80,536 and 181,952 is: 411,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,536 : 181,952 = 181,952 : x
  2. Step 2: Convert to fraction form
    80,536/181,952 = 181,952/x
  3. Step 3: Cross multiply
    80,536x = 181,952 × 181,952
  4. Step 4: Simplify right side
    80,536x = 33,106,530,304
  5. Step 5: Solve for x
    x = 33,106,530,304/80,536
  6. Step 6: Final answer
    x = 411,077.41

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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.