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Finding the Third Proportional to 67,216.50 and 100,464.75

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Solution

The third proportional to 67,216.50 and 100,464.75 is: 150,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,216.50 : 100,464.75 = 100,464.75 : x
  2. Step 2: Convert to fraction form
    67,216.50/100,464.75 = 100,464.75/x
  3. Step 3: Cross multiply
    67,216.50x = 100,464.75 × 100,464.75
  4. Step 4: Simplify right side
    67,216.50x = 10,093,165,992.56
  5. Step 5: Solve for x
    x = 10,093,165,992.56/67,216.50
  6. Step 6: Final answer
    x = 150,159.05

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Why These Related Problems?

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