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Finding the Third Proportional to 117,004.50 and 165,551.34

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Solution

The third proportional to 117,004.50 and 165,551.34 is: 234,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,004.50 : 165,551.34 = 165,551.34 : x
  2. Step 2: Convert to fraction form
    117,004.50/165,551.34 = 165,551.34/x
  3. Step 3: Cross multiply
    117,004.50x = 165,551.34 × 165,551.34
  4. Step 4: Simplify right side
    117,004.50x = 27,407,247,417.43
  5. Step 5: Solve for x
    x = 27,407,247,417.43/117,004.50
  6. Step 6: Final answer
    x = 234,240.97

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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.