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Finding the Third Proportional to 71,291 and 99,667

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Solution

The third proportional to 71,291 and 99,667 is: 139,337.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,291 : 99,667 = 99,667 : x
  2. Step 2: Convert to fraction form
    71,291/99,667 = 99,667/x
  3. Step 3: Cross multiply
    71,291x = 99,667 × 99,667
  4. Step 4: Simplify right side
    71,291x = 9,933,510,889
  5. Step 5: Solve for x
    x = 9,933,510,889/71,291
  6. Step 6: Final answer
    x = 139,337.52

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.