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Finding the Third Proportional to 40,178 and 85,912

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Solution

The third proportional to 40,178 and 85,912 is: 183,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,178 : 85,912 = 85,912 : x
  2. Step 2: Convert to fraction form
    40,178/85,912 = 85,912/x
  3. Step 3: Cross multiply
    40,178x = 85,912 × 85,912
  4. Step 4: Simplify right side
    40,178x = 7,380,871,744
  5. Step 5: Solve for x
    x = 7,380,871,744/40,178
  6. Step 6: Final answer
    x = 183,704.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.