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Finding the Third Proportional to 71,408 and 169,177

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Solution

The third proportional to 71,408 and 169,177 is: 400,807.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,408 : 169,177 = 169,177 : x
  2. Step 2: Convert to fraction form
    71,408/169,177 = 169,177/x
  3. Step 3: Cross multiply
    71,408x = 169,177 × 169,177
  4. Step 4: Simplify right side
    71,408x = 28,620,857,329
  5. Step 5: Solve for x
    x = 28,620,857,329/71,408
  6. Step 6: Final answer
    x = 400,807.44

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.