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Finding the Third Proportional to 118,110 and 182,997

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Solution

The third proportional to 118,110 and 182,997 is: 283,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,110 : 182,997 = 182,997 : x
  2. Step 2: Convert to fraction form
    118,110/182,997 = 182,997/x
  3. Step 3: Cross multiply
    118,110x = 182,997 × 182,997
  4. Step 4: Simplify right side
    118,110x = 33,487,902,009
  5. Step 5: Solve for x
    x = 33,487,902,009/118,110
  6. Step 6: Final answer
    x = 283,531.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.