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Finding the Third Proportional to 40,541 and 87,075

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Solution

The third proportional to 40,541 and 87,075 is: 187,021.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,541 : 87,075 = 87,075 : x
  2. Step 2: Convert to fraction form
    40,541/87,075 = 87,075/x
  3. Step 3: Cross multiply
    40,541x = 87,075 × 87,075
  4. Step 4: Simplify right side
    40,541x = 7,582,055,625
  5. Step 5: Solve for x
    x = 7,582,055,625/40,541
  6. Step 6: Final answer
    x = 187,021.92

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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.