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Finding the Third Proportional to 64,162 and 92,420

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Solution

The third proportional to 64,162 and 92,420 is: 133,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,162 : 92,420 = 92,420 : x
  2. Step 2: Convert to fraction form
    64,162/92,420 = 92,420/x
  3. Step 3: Cross multiply
    64,162x = 92,420 × 92,420
  4. Step 4: Simplify right side
    64,162x = 8,541,456,400
  5. Step 5: Solve for x
    x = 8,541,456,400/64,162
  6. Step 6: Final answer
    x = 133,123.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.