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Finding the Third Proportional to 74,986 and 162,425

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Solution

The third proportional to 74,986 and 162,425 is: 351,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,986 : 162,425 = 162,425 : x
  2. Step 2: Convert to fraction form
    74,986/162,425 = 162,425/x
  3. Step 3: Cross multiply
    74,986x = 162,425 × 162,425
  4. Step 4: Simplify right side
    74,986x = 26,381,880,625
  5. Step 5: Solve for x
    x = 26,381,880,625/74,986
  6. Step 6: Final answer
    x = 351,824.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.