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Finding the Third Proportional to 110,504.25 and 169,951.50

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Solution

The third proportional to 110,504.25 and 169,951.50 is: 261,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,504.25 : 169,951.50 = 169,951.50 : x
  2. Step 2: Convert to fraction form
    110,504.25/169,951.50 = 169,951.50/x
  3. Step 3: Cross multiply
    110,504.25x = 169,951.50 × 169,951.50
  4. Step 4: Simplify right side
    110,504.25x = 28,883,512,352.25
  5. Step 5: Solve for x
    x = 28,883,512,352.25/110,504.25
  6. Step 6: Final answer
    x = 261,379.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.