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Finding the Third Proportional to 62,865 and 85,427

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Solution

The third proportional to 62,865 and 85,427 is: 116,086.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,865 : 85,427 = 85,427 : x
  2. Step 2: Convert to fraction form
    62,865/85,427 = 85,427/x
  3. Step 3: Cross multiply
    62,865x = 85,427 × 85,427
  4. Step 4: Simplify right side
    62,865x = 7,297,772,329
  5. Step 5: Solve for x
    x = 7,297,772,329/62,865
  6. Step 6: Final answer
    x = 116,086.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.