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Finding the Third Proportional to 82,529 and 111,446

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Solution

The third proportional to 82,529 and 111,446 is: 150,495.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,529 : 111,446 = 111,446 : x
  2. Step 2: Convert to fraction form
    82,529/111,446 = 111,446/x
  3. Step 3: Cross multiply
    82,529x = 111,446 × 111,446
  4. Step 4: Simplify right side
    82,529x = 12,420,210,916
  5. Step 5: Solve for x
    x = 12,420,210,916/82,529
  6. Step 6: Final answer
    x = 150,495.11

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.