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Finding the Third Proportional to 62,324 and 87,451

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Solution

The third proportional to 62,324 and 87,451 is: 122,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,324 : 87,451 = 87,451 : x
  2. Step 2: Convert to fraction form
    62,324/87,451 = 87,451/x
  3. Step 3: Cross multiply
    62,324x = 87,451 × 87,451
  4. Step 4: Simplify right side
    62,324x = 7,647,677,401
  5. Step 5: Solve for x
    x = 7,647,677,401/62,324
  6. Step 6: Final answer
    x = 122,708.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.