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Finding the Third Proportional to 73,675 and 160,845

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Solution

The third proportional to 73,675 and 160,845 is: 351,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,675 : 160,845 = 160,845 : x
  2. Step 2: Convert to fraction form
    73,675/160,845 = 160,845/x
  3. Step 3: Cross multiply
    73,675x = 160,845 × 160,845
  4. Step 4: Simplify right side
    73,675x = 25,871,114,025
  5. Step 5: Solve for x
    x = 25,871,114,025/73,675
  6. Step 6: Final answer
    x = 351,151.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.