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Finding the Third Proportional to 40,951 and 86,275

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Solution

The third proportional to 40,951 and 86,275 is: 181,762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,951 : 86,275 = 86,275 : x
  2. Step 2: Convert to fraction form
    40,951/86,275 = 86,275/x
  3. Step 3: Cross multiply
    40,951x = 86,275 × 86,275
  4. Step 4: Simplify right side
    40,951x = 7,443,375,625
  5. Step 5: Solve for x
    x = 7,443,375,625/40,951
  6. Step 6: Final answer
    x = 181,762.98

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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.