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Finding the Third Proportional to 40,529 and 87,052

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Solution

The third proportional to 40,529 and 87,052 is: 186,978.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,529 : 87,052 = 87,052 : x
  2. Step 2: Convert to fraction form
    40,529/87,052 = 87,052/x
  3. Step 3: Cross multiply
    40,529x = 87,052 × 87,052
  4. Step 4: Simplify right side
    40,529x = 7,578,050,704
  5. Step 5: Solve for x
    x = 7,578,050,704/40,529
  6. Step 6: Final answer
    x = 186,978.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.