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Finding the Third Proportional to 69,829 and 150,727

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Solution

The third proportional to 69,829 and 150,727 is: 325,346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,829 : 150,727 = 150,727 : x
  2. Step 2: Convert to fraction form
    69,829/150,727 = 150,727/x
  3. Step 3: Cross multiply
    69,829x = 150,727 × 150,727
  4. Step 4: Simplify right side
    69,829x = 22,718,628,529
  5. Step 5: Solve for x
    x = 22,718,628,529/69,829
  6. Step 6: Final answer
    x = 325,346.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.