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Finding the Third Proportional to 45,150 and 67,728

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Solution

The third proportional to 45,150 and 67,728 is: 101,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,150 : 67,728 = 67,728 : x
  2. Step 2: Convert to fraction form
    45,150/67,728 = 67,728/x
  3. Step 3: Cross multiply
    45,150x = 67,728 × 67,728
  4. Step 4: Simplify right side
    45,150x = 4,587,081,984
  5. Step 5: Solve for x
    x = 4,587,081,984/45,150
  6. Step 6: Final answer
    x = 101,596.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.