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Finding the Third Proportional to 71,429.63 and 106,794

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Solution

The third proportional to 71,429.63 and 106,794 is: 159,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,429.63 : 106,794 = 106,794 : x
  2. Step 2: Convert to fraction form
    71,429.63/106,794 = 106,794/x
  3. Step 3: Cross multiply
    71,429.63x = 106,794 × 106,794
  4. Step 4: Simplify right side
    71,429.63x = 11,404,958,436
  5. Step 5: Solve for x
    x = 11,404,958,436/71,429.63
  6. Step 6: Final answer
    x = 159,667.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.