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Finding the Third Proportional to 73,971 and 162,675

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Solution

The third proportional to 73,971 and 162,675 is: 357,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,971 : 162,675 = 162,675 : x
  2. Step 2: Convert to fraction form
    73,971/162,675 = 162,675/x
  3. Step 3: Cross multiply
    73,971x = 162,675 × 162,675
  4. Step 4: Simplify right side
    73,971x = 26,463,155,625
  5. Step 5: Solve for x
    x = 26,463,155,625/73,971
  6. Step 6: Final answer
    x = 357,750.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.