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Finding the Third Proportional to 45,012 and 67,150

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Solution

The third proportional to 45,012 and 67,150 is: 100,176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,012 : 67,150 = 67,150 : x
  2. Step 2: Convert to fraction form
    45,012/67,150 = 67,150/x
  3. Step 3: Cross multiply
    45,012x = 67,150 × 67,150
  4. Step 4: Simplify right side
    45,012x = 4,509,122,500
  5. Step 5: Solve for x
    x = 4,509,122,500/45,012
  6. Step 6: Final answer
    x = 100,176.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.