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Finding the Third Proportional to 71,139.94 and 107,179.03

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Solution

The third proportional to 71,139.94 and 107,179.03 is: 161,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,139.94 : 107,179.03 = 107,179.03 : x
  2. Step 2: Convert to fraction form
    71,139.94/107,179.03 = 107,179.03/x
  3. Step 3: Cross multiply
    71,139.94x = 107,179.03 × 107,179.03
  4. Step 4: Simplify right side
    71,139.94x = 11,487,344,739.69
  5. Step 5: Solve for x
    x = 11,487,344,739.69/71,139.94
  6. Step 6: Final answer
    x = 161,475.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.