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Finding the Third Proportional to 40,941 and 86,010

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Solution

The third proportional to 40,941 and 86,010 is: 180,692.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,941 : 86,010 = 86,010 : x
  2. Step 2: Convert to fraction form
    40,941/86,010 = 86,010/x
  3. Step 3: Cross multiply
    40,941x = 86,010 × 86,010
  4. Step 4: Simplify right side
    40,941x = 7,397,720,100
  5. Step 5: Solve for x
    x = 7,397,720,100/40,941
  6. Step 6: Final answer
    x = 180,692.22

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Why These Related Problems?

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