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Finding the Third Proportional to 40,971 and 86,062

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Solution

The third proportional to 40,971 and 86,062 is: 180,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,971 : 86,062 = 86,062 : x
  2. Step 2: Convert to fraction form
    40,971/86,062 = 86,062/x
  3. Step 3: Cross multiply
    40,971x = 86,062 × 86,062
  4. Step 4: Simplify right side
    40,971x = 7,406,667,844
  5. Step 5: Solve for x
    x = 7,406,667,844/40,971
  6. Step 6: Final answer
    x = 180,778.30

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.