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Finding the Third Proportional to 80,868 and 173,640

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Solution

The third proportional to 80,868 and 173,640 is: 372,840.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,868 : 173,640 = 173,640 : x
  2. Step 2: Convert to fraction form
    80,868/173,640 = 173,640/x
  3. Step 3: Cross multiply
    80,868x = 173,640 × 173,640
  4. Step 4: Simplify right side
    80,868x = 30,150,849,600
  5. Step 5: Solve for x
    x = 30,150,849,600/80,868
  6. Step 6: Final answer
    x = 372,840.30

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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.