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Finding the Third Proportional to 41,640 and 85,680

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Solution

The third proportional to 41,640 and 85,680 is: 176,298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,640 : 85,680 = 85,680 : x
  2. Step 2: Convert to fraction form
    41,640/85,680 = 85,680/x
  3. Step 3: Cross multiply
    41,640x = 85,680 × 85,680
  4. Step 4: Simplify right side
    41,640x = 7,341,062,400
  5. Step 5: Solve for x
    x = 7,341,062,400/41,640
  6. Step 6: Final answer
    x = 176,298.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.