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Finding the Third Proportional to 40,372 and 86,914

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Solution

The third proportional to 40,372 and 86,914 is: 187,110.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,372 : 86,914 = 86,914 : x
  2. Step 2: Convert to fraction form
    40,372/86,914 = 86,914/x
  3. Step 3: Cross multiply
    40,372x = 86,914 × 86,914
  4. Step 4: Simplify right side
    40,372x = 7,554,043,396
  5. Step 5: Solve for x
    x = 7,554,043,396/40,372
  6. Step 6: Final answer
    x = 187,110.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.