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Finding the Third Proportional to 67,602 and 150,756

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Solution

The third proportional to 67,602 and 150,756 is: 336,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,602 : 150,756 = 150,756 : x
  2. Step 2: Convert to fraction form
    67,602/150,756 = 150,756/x
  3. Step 3: Cross multiply
    67,602x = 150,756 × 150,756
  4. Step 4: Simplify right side
    67,602x = 22,727,371,536
  5. Step 5: Solve for x
    x = 22,727,371,536/67,602
  6. Step 6: Final answer
    x = 336,193.77

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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.