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Finding the Third Proportional to 69,546 and 151,836

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Solution

The third proportional to 69,546 and 151,836 is: 331,495.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,546 : 151,836 = 151,836 : x
  2. Step 2: Convert to fraction form
    69,546/151,836 = 151,836/x
  3. Step 3: Cross multiply
    69,546x = 151,836 × 151,836
  4. Step 4: Simplify right side
    69,546x = 23,054,170,896
  5. Step 5: Solve for x
    x = 23,054,170,896/69,546
  6. Step 6: Final answer
    x = 331,495.28

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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.