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Finding the Third Proportional to 64,195 and 92,467

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Solution

The third proportional to 64,195 and 92,467 is: 133,190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,195 : 92,467 = 92,467 : x
  2. Step 2: Convert to fraction form
    64,195/92,467 = 92,467/x
  3. Step 3: Cross multiply
    64,195x = 92,467 × 92,467
  4. Step 4: Simplify right side
    64,195x = 8,550,146,089
  5. Step 5: Solve for x
    x = 8,550,146,089/64,195
  6. Step 6: Final answer
    x = 133,190.22

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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.