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Finding the Third Proportional to 73,869 and 161,271

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Solution

The third proportional to 73,869 and 161,271 is: 352,087.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,869 : 161,271 = 161,271 : x
  2. Step 2: Convert to fraction form
    73,869/161,271 = 161,271/x
  3. Step 3: Cross multiply
    73,869x = 161,271 × 161,271
  4. Step 4: Simplify right side
    73,869x = 26,008,335,441
  5. Step 5: Solve for x
    x = 26,008,335,441/73,869
  6. Step 6: Final answer
    x = 352,087.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.