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Finding the Third Proportional to 106,864 and 151,896

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Solution

The third proportional to 106,864 and 151,896 is: 215,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,864 : 151,896 = 151,896 : x
  2. Step 2: Convert to fraction form
    106,864/151,896 = 151,896/x
  3. Step 3: Cross multiply
    106,864x = 151,896 × 151,896
  4. Step 4: Simplify right side
    106,864x = 23,072,394,816
  5. Step 5: Solve for x
    x = 23,072,394,816/106,864
  6. Step 6: Final answer
    x = 215,904.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.