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Finding the Third Proportional to 82,769 and 180,574

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Solution

The third proportional to 82,769 and 180,574 is: 393,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,769 : 180,574 = 180,574 : x
  2. Step 2: Convert to fraction form
    82,769/180,574 = 180,574/x
  3. Step 3: Cross multiply
    82,769x = 180,574 × 180,574
  4. Step 4: Simplify right side
    82,769x = 32,606,969,476
  5. Step 5: Solve for x
    x = 32,606,969,476/82,769
  6. Step 6: Final answer
    x = 393,951.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.