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Finding the Third Proportional to 106,310.25 and 171,292.50

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Solution

The third proportional to 106,310.25 and 171,292.50 is: 275,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,310.25 : 171,292.50 = 171,292.50 : x
  2. Step 2: Convert to fraction form
    106,310.25/171,292.50 = 171,292.50/x
  3. Step 3: Cross multiply
    106,310.25x = 171,292.50 × 171,292.50
  4. Step 4: Simplify right side
    106,310.25x = 29,341,120,556.25
  5. Step 5: Solve for x
    x = 29,341,120,556.25/106,310.25
  6. Step 6: Final answer
    x = 275,995.22

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.