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Finding the Third Proportional to 40,950 and 86,272

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Solution

The third proportional to 40,950 and 86,272 is: 181,754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,950 : 86,272 = 86,272 : x
  2. Step 2: Convert to fraction form
    40,950/86,272 = 86,272/x
  3. Step 3: Cross multiply
    40,950x = 86,272 × 86,272
  4. Step 4: Simplify right side
    40,950x = 7,442,857,984
  5. Step 5: Solve for x
    x = 7,442,857,984/40,950
  6. Step 6: Final answer
    x = 181,754.77

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.