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Finding the Third Proportional to 40,446 and 87,764

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Solution

The third proportional to 40,446 and 87,764 is: 190,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,446 : 87,764 = 87,764 : x
  2. Step 2: Convert to fraction form
    40,446/87,764 = 87,764/x
  3. Step 3: Cross multiply
    40,446x = 87,764 × 87,764
  4. Step 4: Simplify right side
    40,446x = 7,702,519,696
  5. Step 5: Solve for x
    x = 7,702,519,696/40,446
  6. Step 6: Final answer
    x = 190,439.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.