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Finding the Third Proportional to 106,878.75 and 169,230.75

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Solution

The third proportional to 106,878.75 and 169,230.75 is: 267,958.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,878.75 : 169,230.75 = 169,230.75 : x
  2. Step 2: Convert to fraction form
    106,878.75/169,230.75 = 169,230.75/x
  3. Step 3: Cross multiply
    106,878.75x = 169,230.75 × 169,230.75
  4. Step 4: Simplify right side
    106,878.75x = 28,639,046,745.56
  5. Step 5: Solve for x
    x = 28,639,046,745.56/106,878.75
  6. Step 6: Final answer
    x = 267,958.29

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.