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Finding the Third Proportional to 40,059 and 86,697

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Solution

The third proportional to 40,059 and 86,697 is: 187,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,059 : 86,697 = 86,697 : x
  2. Step 2: Convert to fraction form
    40,059/86,697 = 86,697/x
  3. Step 3: Cross multiply
    40,059x = 86,697 × 86,697
  4. Step 4: Simplify right side
    40,059x = 7,516,369,809
  5. Step 5: Solve for x
    x = 7,516,369,809/40,059
  6. Step 6: Final answer
    x = 187,632.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.