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Finding the Third Proportional to 77,964 and 169,104

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Solution

The third proportional to 77,964 and 169,104 is: 366,786.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,964 : 169,104 = 169,104 : x
  2. Step 2: Convert to fraction form
    77,964/169,104 = 169,104/x
  3. Step 3: Cross multiply
    77,964x = 169,104 × 169,104
  4. Step 4: Simplify right side
    77,964x = 28,596,162,816
  5. Step 5: Solve for x
    x = 28,596,162,816/77,964
  6. Step 6: Final answer
    x = 366,786.76

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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.