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Finding the Third Proportional to 67,616 and 150,784

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Solution

The third proportional to 67,616 and 150,784 is: 336,249.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,616 : 150,784 = 150,784 : x
  2. Step 2: Convert to fraction form
    67,616/150,784 = 150,784/x
  3. Step 3: Cross multiply
    67,616x = 150,784 × 150,784
  4. Step 4: Simplify right side
    67,616x = 22,735,814,656
  5. Step 5: Solve for x
    x = 22,735,814,656/67,616
  6. Step 6: Final answer
    x = 336,249.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.