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Finding the Third Proportional to 71,392 and 111,041

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Solution

The third proportional to 71,392 and 111,041 is: 172,709.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,392 : 111,041 = 111,041 : x
  2. Step 2: Convert to fraction form
    71,392/111,041 = 111,041/x
  3. Step 3: Cross multiply
    71,392x = 111,041 × 111,041
  4. Step 4: Simplify right side
    71,392x = 12,330,103,681
  5. Step 5: Solve for x
    x = 12,330,103,681/71,392
  6. Step 6: Final answer
    x = 172,709.88

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.