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Finding the Third Proportional to 71,269 and 150,583

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Solution

The third proportional to 71,269 and 150,583 is: 318,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,269 : 150,583 = 150,583 : x
  2. Step 2: Convert to fraction form
    71,269/150,583 = 150,583/x
  3. Step 3: Cross multiply
    71,269x = 150,583 × 150,583
  4. Step 4: Simplify right side
    71,269x = 22,675,239,889
  5. Step 5: Solve for x
    x = 22,675,239,889/71,269
  6. Step 6: Final answer
    x = 318,164.14

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.