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Finding the Third Proportional to 117,007 and 165,554

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Solution

The third proportional to 117,007 and 165,554 is: 234,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,007 : 165,554 = 165,554 : x
  2. Step 2: Convert to fraction form
    117,007/165,554 = 165,554/x
  3. Step 3: Cross multiply
    117,007x = 165,554 × 165,554
  4. Step 4: Simplify right side
    117,007x = 27,408,126,916
  5. Step 5: Solve for x
    x = 27,408,126,916/117,007
  6. Step 6: Final answer
    x = 234,243.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.