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Finding the Third Proportional to 41,757 and 87,615

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Solution

The third proportional to 41,757 and 87,615 is: 183,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,757 : 87,615 = 87,615 : x
  2. Step 2: Convert to fraction form
    41,757/87,615 = 87,615/x
  3. Step 3: Cross multiply
    41,757x = 87,615 × 87,615
  4. Step 4: Simplify right side
    41,757x = 7,676,388,225
  5. Step 5: Solve for x
    x = 7,676,388,225/41,757
  6. Step 6: Final answer
    x = 183,834.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.