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Finding the Third Proportional to 78,104 and 171,022

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Solution

The third proportional to 78,104 and 171,022 is: 374,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,104 : 171,022 = 171,022 : x
  2. Step 2: Convert to fraction form
    78,104/171,022 = 171,022/x
  3. Step 3: Cross multiply
    78,104x = 171,022 × 171,022
  4. Step 4: Simplify right side
    78,104x = 29,248,524,484
  5. Step 5: Solve for x
    x = 29,248,524,484/78,104
  6. Step 6: Final answer
    x = 374,481.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.