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Finding the Third Proportional to 40,858 and 85,846

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Solution

The third proportional to 40,858 and 85,846 is: 180,369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,858 : 85,846 = 85,846 : x
  2. Step 2: Convert to fraction form
    40,858/85,846 = 85,846/x
  3. Step 3: Cross multiply
    40,858x = 85,846 × 85,846
  4. Step 4: Simplify right side
    40,858x = 7,369,535,716
  5. Step 5: Solve for x
    x = 7,369,535,716/40,858
  6. Step 6: Final answer
    x = 180,369.47

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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.