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Finding the Third Proportional to 40,680 and 85,734

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Solution

The third proportional to 40,680 and 85,734 is: 180,686.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,680 : 85,734 = 85,734 : x
  2. Step 2: Convert to fraction form
    40,680/85,734 = 85,734/x
  3. Step 3: Cross multiply
    40,680x = 85,734 × 85,734
  4. Step 4: Simplify right side
    40,680x = 7,350,318,756
  5. Step 5: Solve for x
    x = 7,350,318,756/40,680
  6. Step 6: Final answer
    x = 180,686.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.