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Finding the Third Proportional to 81,574 and 180,617

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Solution

The third proportional to 81,574 and 180,617 is: 399,912.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,574 : 180,617 = 180,617 : x
  2. Step 2: Convert to fraction form
    81,574/180,617 = 180,617/x
  3. Step 3: Cross multiply
    81,574x = 180,617 × 180,617
  4. Step 4: Simplify right side
    81,574x = 32,622,500,689
  5. Step 5: Solve for x
    x = 32,622,500,689/81,574
  6. Step 6: Final answer
    x = 399,912.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.