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Finding the Third Proportional to 106,141.88 and 170,438.63

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Solution

The third proportional to 106,141.88 and 170,438.63 is: 273,683.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,141.88 : 170,438.63 = 170,438.63 : x
  2. Step 2: Convert to fraction form
    106,141.88/170,438.63 = 170,438.63/x
  3. Step 3: Cross multiply
    106,141.88x = 170,438.63 × 170,438.63
  4. Step 4: Simplify right side
    106,141.88x = 29,049,324,891.89
  5. Step 5: Solve for x
    x = 29,049,324,891.89/106,141.88
  6. Step 6: Final answer
    x = 273,683.92

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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.