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Finding the Third Proportional to 64,400 and 98,512

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Solution

The third proportional to 64,400 and 98,512 is: 150,692.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,400 : 98,512 = 98,512 : x
  2. Step 2: Convert to fraction form
    64,400/98,512 = 98,512/x
  3. Step 3: Cross multiply
    64,400x = 98,512 × 98,512
  4. Step 4: Simplify right side
    64,400x = 9,704,614,144
  5. Step 5: Solve for x
    x = 9,704,614,144/64,400
  6. Step 6: Final answer
    x = 150,692.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.