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Finding the Third Proportional to 40,359 and 85,662

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Solution

The third proportional to 40,359 and 85,662 is: 181,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,359 : 85,662 = 85,662 : x
  2. Step 2: Convert to fraction form
    40,359/85,662 = 85,662/x
  3. Step 3: Cross multiply
    40,359x = 85,662 × 85,662
  4. Step 4: Simplify right side
    40,359x = 7,337,978,244
  5. Step 5: Solve for x
    x = 7,337,978,244/40,359
  6. Step 6: Final answer
    x = 181,817.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.