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Finding the Third Proportional to 77,576 and 168,976

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Solution

The third proportional to 77,576 and 168,976 is: 368,063.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,576 : 168,976 = 168,976 : x
  2. Step 2: Convert to fraction form
    77,576/168,976 = 168,976/x
  3. Step 3: Cross multiply
    77,576x = 168,976 × 168,976
  4. Step 4: Simplify right side
    77,576x = 28,552,888,576
  5. Step 5: Solve for x
    x = 28,552,888,576/77,576
  6. Step 6: Final answer
    x = 368,063.43

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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.